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5.05 The multiplication rule

Interactive practice questions

A coin is tossed twice.

a

Construct a tree diagram showing the results of the given experiment.

b

Use the tree diagram to find the probability of getting exactly 1 Head.

c

Use the tree diagram to find the probability of getting 2 heads.

d

Use the tree diagram to find the probability of getting no heads.

e

Use the tree diagram to find the probability of getting 1 Head and 1 Tail.

Easy
1min

An archer makes two attempts to hit a target, and the probability that he hits the target on any one attempt is $\frac{1}{3}$13.

Easy
< 1min

A class contains $5$5 girls and $6$6 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?

Easy
3min

If two events are independent, then

$P$P$($($A$A and $B$B$)$) $=$=

Easy
< 1min
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Outcomes

II.S.CP.8

Apply the general multiplication rule in a uniform probability model, p(a and b) = p(a)p(b|a) = p(b)p(a|b), and interpret the answer in terms of the model.

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