Grammar for Teachers
Grammar for Teachers
🔴 Advanced

Modal Verbs: Deduction — The Probability Scale

What this session covers

One of the most sophisticated and natural uses of modal verbs is expressing how certain we are about something — not what we decide to do, but what we deduce, conclude, or speculate about the world. Native speakers do this constantly: reasoning from evidence, drawing conclusions, expressing uncertainty. This lesson pulls together all the modals for deduction into a single, coherent system — from almost certain down to almost impossible.

Personal Reflection

Before you start — think honestly about your own teaching and experience.

Q1
How confident do you feel teaching the full probability scale using modals — from 'it must be true' to 'it can't be true'?
Q2
Which of these have you experienced with your students? (Select all that apply)

Discover the Pattern

Look at the examples. Answer each question before reading the explanation — this is how your students will learn too.

1

Read these sentences about the same situation — a teacher who has not appeared for her class. The speaker in each sentence is reasoning from evidence, not from direct knowledge. What changes between the sentences?

She must be in the staffroom — her coat is here.
She should be here by now — she said she would arrive at eight.
She may be on her way — the traffic is bad today.
She might be waiting at the wrong entrance.
She could have been delayed at the gate.
She can't be in the building — I checked everywhere.
All six speakers are deducing — not stating facts. What is different about each one? Which speaker is most certain? Which is least certain?

Must = the speaker is almost certain it is true — based on strong evidence (her coat is here). Should = the speaker expects it to be true — based on timing or previous information (she said she would arrive). May = the speaker thinks it is possible — perhaps 50% or more. Might = the speaker thinks it is possible — perhaps slightly less certain. Could = one of several possible explanations — sometimes even less certain. Can't = the speaker is almost certain it is NOT true — based on strong evidence (I searched everywhere). The key insight: these modals form a scale of certainty, from almost certain (must) at one end to almost impossible (can't) at the other. This scale is one of the most useful conceptual tools in English grammar.'

2

Now look at the difference between modal deduction and modal obligation. Some students confuse 'must' for deduction with 'must' for obligation. Read these pairs:

A: You must submit the report by Friday. (obligation — you are required to do this)
B: The report must be on my desk — I left it there this morning. (deduction — I am almost certain)
A: She must apologise to the class. (obligation — she is required to)
B: She must be exhausted — she has been teaching since six this morning. (deduction — I conclude this from evidence)
How do you know which meaning 'must' has in each case?

Obligation (must 1): the subject is a person being required to do something. The sentence is telling someone what to do. There is often an element of authority or necessity. Deduction (must 2): the speaker is drawing a conclusion about a state or situation. They are not telling someone what to do — they are saying what they believe to be true based on evidence. 'She must be exhausted' — the speaker cannot command someone to be exhausted. They are concluding it from observation. A useful test: can you replace 'must' with 'is required to'? → obligation. Can you replace 'must' with 'I am almost certain that'? → deduction. Context almost always makes this clear.'

3

Now look at the past deduction forms. How do they relate to the present deduction scale?

She must have left already — the lights are off.
She should have arrived by now — it's been three hours.
She may have gone to the market first.
She might have taken a different route.
She could have been delayed somewhere.
She can't have known about the change — nobody told her.
What is the difference between the present deduction forms and these past deduction forms? What changes structurally?

Present deduction: modal + base infinitive (must be, may be, could be, can't be). Past deduction: modal + have + past participle (must have left, may have gone, could have been, can't have known). The meaning of the scale is the same — the certainty levels remain: must have = almost certain it happened, can't have = almost certain it did not happen. Only the structure changes to reflect the past. This is the same structure as all past modals (from lesson 6) — but here the meaning is deduction rather than regret or missed opportunity. The modal tells you the certainty level. The have + past participle tells you the action is in the past.'

The Pattern — What You Just Discovered

Modal verbs for deduction form a probability scale from almost certain to almost impossible. The speaker reasons from evidence rather than stating direct facts. Present deduction: modal + base infinitive. Past deduction: modal + have + past participle. The scale from most certain to least: must → should → may → might → could → can't.
Special Rule / Notes

THE FULL PROBABILITY SCALE — a visual summary:

MUST (be / have + pp) ——→ almost certain it IS true
SHOULD (be / have + pp) → expected to be true — high probability
MAY (be / have + pp) ——→ possible — about 50%
MIGHT (be / have + pp) → possible — slightly less certain
COULD (be / have + pp) → one of several possibilities — even less certain
CAN'T (be / have + pp) —→ almost certain it is NOT true

KEY POINT — must not ≠ can't for deduction:
For deduction, the negative of 'must' is NOT 'must not'. It is 'can't'.

✗ She must not be at home — I don't see her. (This means it is forbidden for her to be at home.)
✓ She can't be at home — I don't see her. (This means I am almost certain she is not home.)

'Must not' for deduction would mean 'it is impossible that' — but this is not standard English. The standard negative deduction is 'can't have' or 'couldn't have'.

DEDUCTION vs. OBLIGATION — recognising the difference:
Obligation must: can be replaced by 'is required to' or 'has to'.

She must submit the form. (= she is required to submit it)
Deduction must: can be replaced by 'I am almost certain that'.
She must be ill. (= I am almost certain she is ill)
The test always works — obligation involves something the subject is required to DO. Deduction involves a conclusion about a STATE or SITUATION.
🎥

Is the speaker drawing a conclusion from evidence? → deduction scale. Almost certain it is true? → must. Expected based on normal patterns? → should. Possible but uncertain? → may or might. One of several options? → could. Almost certain it is NOT true? → can't / couldn't. Is it a past deduction? → add have + past participle after the modal.

Common Student Errors

She must not be at home — her car is not outside.
She can't be at home — her car is not outside.
WhyFor negative deduction ('I am almost certain she is NOT there'), use 'can't' — not 'must not'. 'Must not' expresses prohibition, not deduction. This is one of the most important distinctions in the entire modal system.
He must be not very tired — he looks fine.
He can't be very tired — he looks fine.
Why'Must be not' is not standard English. The negative of must (deduction) is can't: 'He can't be very tired'. Do not put 'not' between must and be.
The lights are off — she might to have left already.
The lights are off — she might have left already.
WhyNo 'to' after might. Past deduction: might + have + past participle. No 'to' anywhere in this structure.
This could be done by the students — the work is too advanced for them. | Correction: This can't have been done by the students — the work is too advanced for them. | WHY: 'Could be done' is possibility (present). But the work is already done and the speaker is deducing it was impossible. Needs past deduction: 'can't have been done'. Also, 'can't' signals near-impossibility — correct here.
Why'Could be done' is possibility (present). But the work is already done and the speaker is deducing it was impossible. Needs past deduction: 'can't have been done'. Also, 'can't' signals near-impossibility — correct here.
She should have been exhausted — she had been teaching all day.
She must have been exhausted — she had been teaching all day.
Why'Should have been' expresses expectation (I expected she would be exhausted). But 'she had been teaching all day' provides strong evidence — suggesting near-certainty. 'Must have been' (strong deduction from evidence) is more accurate here than 'should have been' (expectation based on reasoning).

Check Your Understanding — Part 1

Choose the modal that best expresses the degree of certainty indicated. Read the context carefully — the evidence available determines the correct choice.

The classroom door is locked and the lights are off. The teacher ___________ gone home already.
I'm not sure where she is — she ___________ gone to the market or she
He scored 100% on every test this term. He ___________ be very intelligent — or very dedicated.
She ___________ be the teacher who made that error — she wasn't even in the school that day.
It ___________ be the exam results that the headteacher is announcing — she looks very serious.
0 / 5 answered

Check Your Understanding — Part 2: Why Is It Wrong?

Each sentence contains an error. Write the correct version and explain why — then reveal the answer.

She must not be very experienced — look how nervous she is.
Write the correct sentence:
Explain why it is wrong:
She can't be very experienced — look how nervous she is.
For negative deduction ('I am almost certain she is NOT experienced'), use 'can't'. 'Must not' expresses prohibition — it would mean she is forbidden from being experienced, which makes no sense. This is the most important error in the deduction system: negative of must (deduction) = can't, not must not.
The food is still on the table — they must not have eaten yet.
Write the correct sentence:
Explain why it is wrong:
The food is still on the table — they can't have eaten yet.
The speaker sees the uneaten food and deduces that eating has not happened. This is negative past deduction: can't have eaten. 'Must not have eaten' would mean it is forbidden for them to have eaten — a completely different meaning. Can't have + past participle = almost certain the action did NOT happen.
She might to be in the staffroom — I'm not certain.
Write the correct sentence:
Explain why it is wrong:
She might be in the staffroom — I'm not certain.
No 'to' after might. Present deduction: might + base infinitive. No 'to' in any modal structure (except ought to). 'Might be' is correct — the speaker is speculating without strong evidence.
He must be submit the report by Friday — it is the rule.
Write the correct sentence:
Explain why it is wrong:
He must submit the report by Friday — it is the rule.
This is obligation (a rule), not deduction. The structure for obligation: must + base infinitive (no 'be'). 'Must be submit' is wrong — 'be' is not needed here. The structure modal + base infinitive is: must submit. Deduction would be: 'He must have submitted it' (past deduction). Obligation present: must submit.

Classroom Teaching Sequence

Use this sequence directly in class — guided discovery, no textbook needed. Tap each step to mark it done.

0 / 5 done
1

STEP 1 — THE MYSTERY PERSON (8 minutes): Describe a situation with a mystery — someone who has disappeared or a situation with unexplained evidence. Ask students to reason using the probability scale.

'A teacher's bag is on the desk. Her coat is hanging on the chair. Her lunch is on the table — untouched. But she is nowhere in the building. What happened?'
Elicit responses. Encourage a range of certainty levels:
'She must have stepped out briefly — her things are still here.'
'She might have gone to get something from another building.'
'She can't have gone home — her coat is still here.'
Write the responses on the board and mark the certainty level of each.
2

STEP 2 — THE PROBABILITY SCALE (8 minutes): Draw a simple line on the board with CERTAIN at one end and IMPOSSIBLE at the other. Ask students to place the modals on the scale.
Must → almost certain (positive)
Should → expected / high probability
May → possible
Might → possible (slightly less)
Could → one of many possibilities
Can't → almost certain (negative)
Discuss: what is the difference between may and might in practice? (Small — often interchangeable.) What is the difference between must and should? (Must = strong evidence. Should = expectation based on pattern.)

3

STEP 3 — MUST vs. MUST NOT for DEDUCTION (5 minutes): Write these two sentences:

'She must not be tired — she slept twelve hours.' ✗ (wrong for deduction)
'She can't be tired — she slept twelve hours.' ✓
Ask: why is the first sentence wrong? Elicit: 'must not' = prohibited, not 'I am sure it is not true'. For negative deduction, use 'can't'. Drill with five more examples: students hear a sentence with 'must not' for deduction and correct it to 'can't'.
4

STEP 4 — PAST DEDUCTION (8 minutes): Extend the activity from Step 1 to the past. Present new evidence:

'When the teacher came back, she said she had been at the market. But the market was closed that day.'
Ask students to produce past deductions:
'She can't have been at the market — it was closed.'
'She must have been somewhere else.'
'She might have been visiting someone.'
Write on board. Highlight structure: modal + have + past participle.
5

STEP 5 — FORMAL DEDUCTION IN WRITING (5 minutes): Ask students to write three sentences about an unexplained event in their school or community — using the full range of the scale. They must use at least three different modals. Share and discuss. This consolidates the scale in a creative, personalised context.

Ready-to-Use Classroom Materials

Use directly in class — copy, adapt, or read aloud. No printing needed.

1 The Mystery Bag — Deduction Activity (No materials)
Describe the contents of a bag without saying whose it is. Students deduce who the bag belongs to using modal verbs. This is a classic, engaging deduction activity that works for all ages and contexts. Adapt the contents to your local context.
Example sentences
Contents: a teacher's grade book, a red pen, a whistle, a small bottle of chalk dust remedy, and a letter from a parent.
'The person must be a teacher — they have a grade book.'
'They might teach sport — there is a whistle.'
'They must deal with chalk every day — they have a chalk remedy.'
'They could be a primary school teacher — the letter is from a parent.'
'They can't be a student — students don't usually have grade books.'
2 Evidence and Deduction — The Probability Scale in Practice (No materials)
For each piece of evidence below, students produce a deduction sentence using the most appropriate modal. Discuss: why did you choose that level of certainty? Is there enough evidence for 'must' or only 'might'?
Example sentences
Evidence: A student is crying outside the classroom.
→ She must have received some bad news. / She might have had an argument.
Evidence: A student arrives smiling, carrying a new bag.
→ Something good must have happened. / She might have received a gift.
Evidence: The headteacher has cancelled all lessons for tomorrow.
→ Something important must be happening. / There might be a special event. / It could be a staff training day.
Evidence: A usually talkative student has said nothing all morning.
→ Something must be wrong. / She might not be feeling well. / She could be worried about something.
3 Error Hunt — Dictation (No materials)
Dictate these sentences. Students find and correct errors. Some sentences are correct. Discuss the reasoning behind each correction — not just the rule.
Example sentences
She must have been tired — she had worked for twelve hours. ✓
He must not be the teacher — he is too young. ✗ → He can't be the teacher...
The food is uneaten — they can't have arrived yet. ✓
She might to be in the library. ✗ → She might be in the library.
It could have been a mistake or a misunderstanding. ✓
She should be here by now — she said she would arrive at nine. ✓
The lights are on — someone must be in the building. ✓
He must not have understood — he looks confused. ✓ (This is correct — must not have understood = I am almost certain he did NOT understand. Note: the negative deduction in the past uses 'can't have' OR 'must not have' — both are acceptable. In the present, only 'can't' is standard for negative deduction.)

Plan Your Next Steps

For each strategy, choose the option that best describes where you are now.

Teach the full probability scale as a single coherent system — students who see it as a scale rather than isolated rules use it far more confidently
Prioritise the must / can't distinction for negative deduction — 'must not' for deduction is one of the most persistent advanced errors
Use mystery and speculation activities — deduction is one of the most naturally engaging uses of language in any context
Connect the past deduction scale to past modals (modal + have + pp) — students who already know that structure only need to learn the certainty meaning
Point out deduction modals in reading texts — they appear in news reports, investigations, academic writing, and everyday conversation constantly
What is the one change you will make next time you teach this grammar point?

Key Takeaways

1 Modal verbs for deduction form a probability scale: must (almost certain) → should (expected) → may / might (possible) → could (one of several options) → can't (almost impossible)
2 The negative of must for deduction is can't — NOT must not. 'Must not' = prohibition. 'Can't be' = I am almost certain it is not true
3 Present deduction: modal + base infinitive (must be, might be, can't be). Past deduction: modal + have + past participle (must have been, might have gone, can't have known)
4 Deduction must and obligation must look identical — context always makes the meaning clear. Test: can you replace must with 'is required to' (obligation) or 'I am almost certain' (deduction)?
5 The may / might / could distinction is subtle and often interchangeable — at this level, focus on using the full scale expressively rather than memorising precise percentages