Starter quiz
- The ______ that an event will occur is the proportion of times the event is expected to happen in a suitably large experiment.
- 'probability' ✓
- A trial has three possible outcomes: {A, B, C}. P(A) = . P(B) = . P(C) = . Which outcome is most likely to happen?
- A
- B
- C ✓
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- There are two trials. In Trial 1, a spinner with {A, B, C} is spun twice. In Trial 2, a spinner with {B, C} is spun twice. Which statement is true?
- The likelihood of A or C appearing in the first trial is the same. ✓
- The likelihood of A appearing in the second trial is high.
- The likelihood of B appearing in both trials is more than equal chance.
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- In a fair six-sided die, what is the probability of rolling a 9 and getting 'tails' in a single toss of a fair coin?
- '0' ✓
- A coin is flipped twice. Complete the sample space ξ = {HH, HT, ______, TT}
- HH
- HT
- TH ✓
- TT
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- When rolling a fair six sided die, which event is more likely to occur?
- Rolling an even number ✓
- Rolling a prime number > 2
- Rolling a multiple of 3
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Exit quiz
What is the probability of event A and C happening?-
- ✓
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What number does 'b' represent?- 4 ✓
- 5
- 3
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An object chosen at random is most likely to be which of the following?- from Set A but not Set B
- from Set B but not Set A
- From neither Set A nor Set B
- From Set A or Set B ✓
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If one of the events below was much less likely to occur than any others, which statement would be true?- The event must be either C, D, E, or F
- The event must be either B, E or F
- The event could be any of A, B, C, D, E or F ✓
- The event can only be D or F
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If each spinner is used once, what is the probability of the first spinner landing on 'A' and the second spinner not landing on '1'?- ✓
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- For a single event, what must all possibilities sum to?
- 1 ✓
- 10
- 5
- 0
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Worksheet
Presentation
Video
Lesson Details
Key learning points
- The probability of an outcome can be found from multiple representations.
- Each representation can be considered before the most appropriate is chosen.
- Information from one representation can be displayed using a different representation.
Common misconception
The probability of an event is the product of the probability of each outcome in the event.
The probability of an event is the sum of the probability of each outcome in the event seen in the sample space of a diagram. For example, in the sample space at the end of a probability tree, or by adding the outcomes in the sample space of a table.
Keywords
Probability tree - Each branch of a probability tree shows a possible outcome from an event or from a stage of a trial, along with the probability of that outcome happening.
Sample space - A sample space is all the possible outcomes of a trial. A sample space diagram is a systematic way of producing a sample space.
Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.