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6.04 Theoretical probability and compound events

Interactive practice questions

A standard six-sided die is rolled 358 times.

a

If it lands on a six  $191$191 times, what is the probability that the next roll will land on a six?

b

Is the outcome of the next roll independent of or dependent on the outcomes of previous rolls?

Dependent

A

Independent

B
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

On a roulette table, a ball can land on one of $18$18 red or $18$18 black numbers.

Easy
1min
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Outcomes

1.3.9

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

1.3.13

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

1.3.16

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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