Starter quiz
- __________ describes the chance that a particular event will occur.
- An event
- A likelihood ✓
- An outcome
- A sample space
- A trial
-
Which statement is true for this spinner?- The most likely outcome is for it to land on 'lose'.
- The most likely outcome is for it to land on 'win'. ✓
- The two outcomes are equally likely to happen.
-
Which letter is this spinner most likely to land on?- a
- b
- c ✓
-
- Select all the multiples of 4.
- 1
- 2
- 4 ✓
- 8 ✓
- 12 ✓
-
- Select all the factors of 4.
- 1 ✓
- 2 ✓
- 4 ✓
- 8
- 12
-
- Select all the prime numbers.
- 1
- 2 ✓
- 3 ✓
- 4
- 5 ✓
-
Exit quiz
- An outcome is __________ if there is no possibility that it can happen.
- certain
- even chance
- impossible ✓
- likely
- unlikely
-
- Which statement describes the meaning of 'even chance'?
- An outcome has less chance of happening than not happening.
- An outcome has the same chance of happening as not happening. ✓
- An outcome has a greater chance of happening than not happening.
-
Match the words with their positions on the scale of likelihoods.- A⇔impossible ✓
- B⇔unlikely ✓
- C⇔even chance ✓
- D⇔likely ✓
- E⇔certain ✓
- Match each event with the term that describes their likelihood.
- Rolling 1,2,3,4 or 5 on a 6-sided dice⇔likely ✓
- Rolling a 6 on a 6-sided dice⇔unlikely ✓
- Rolling an odd number on a 6-sided dice⇔even chance ✓
A bag contains counters that are each labelled with a letter from A to C. One counter is chosen at random from the bag. Which term describes the likelihood of choosing the letter 'A'?- certain
- even chance ✓
- impossible
- likely
- unlikley
-
- A regular six-sided dice is rolled. Starting with the least likely, sort the events in increasing order of likelihood.
- 1⇔rolling a negative number
- 2⇔rolling a multiple of 6
- 3⇔rolling a square number
- 4⇔rolling a prime number
- 5⇔rolling a factor of 6
- 6⇔rolling an integer
Worksheet
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Presentation
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Lesson Details
Key learning points
- A scale can be drawn showing the 5 different likelihoods.
- The likelihood scale can be evaluated to understand why only 5 states are shown.
- Different outcomes for an event can be placed on the likelihood scale.
Common misconception
'Equal chance' means the same as 'even chance'.
When a trial has more than two possible outcomes which are all equally likely to happen, each outcome has less than an even chance of happening. E.g. each number on a dice has the same likelihood of being rolled, but each is less than an even chance.
Keywords
Impossible - An outcome is impossible if there is no possibility that it can happen.
Certain - An outcome is certain if it is guaranteed to happen.
Even chance - An outcome has even chance if its likelihood of happening is the same as its likelihood of not happening.
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