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iGCSE (2021 Edition)

19.07 Two-step experiments

Interactive practice questions

A standard six-sided die is rolled twice. Find the probability of:

a

rolling a $3$3 and a $6$6 in any order.

b

rolling a $3$3 and then a $6$6

Easy
2min

Five ordinary dice are rolled. What is the probability that the results are all less than $5$5?

Easy
2min

Mr and Mrs Smith are starting a family.

When having each child, they assume that having a girl is just as likely as having a boy.

Medium
2min

Neville has found that when playing chess against the computer, he wins $\frac{1}{3}$13 of the time.

Medium
5min
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Outcomes

0607C10.4

Combining events.

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).

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