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5.04 Theoretical probability and compound events

Interactive practice questions

A standard six-sided die is rolled and then a coin is tossed.

a

Create a probability tree for this situation.

b

What is the probability of an even number and a head?

c

What is the probability of an even number, a head, or both?

Easy
3min

A standard six-sided die is rolled 358 times.

Easy
< 1min

A person runs a marathon, and then falls ill from exhaustion. Are the events independent or dependent?

Easy
< 1min

A fair coin is tossed 600 times.

Easy
< 1min
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Outcomes

1.3.2.1

recall probability as a measure of ‘the likelihood of occurrence’ of an event

1.3.3.1

understand the notion of a conditional probability and recognise and use language that indicates conditionality

1.3.3.4

establish and use the formula 𝑃(𝐴∩𝐵) = 𝑃(A)𝑃(𝐵) for independent events 𝐴 and 𝐵, and recognise the symmetry of independence

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