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iGCSE (2021 Edition)

19.08 Independent events and trees

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

0607C10.4

Combining events.

0607C10.5

Tree diagrams including successive selection with or without replacement.

0607E10.4

Combining events: the addition rule P(A or B) = P(A) + P(B), the multiplication rule P(A and B) = P(A) × P(B).

0607E10.5

Tree diagrams including successive selection with or without replacement.

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