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6.04 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

ACMMM052

review probability as a measure of โ€˜the likelihood of occurrenceโ€™ of an event

ACMMM056

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

ACMMM059

establish and use the formula ๐‘ƒ(๐ดโˆฉ๐ต) = ๐‘ƒ(A)๐‘ƒ(๐ต) for independent events ๐ด and ๐ต, and recognise the symmetry of independence

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