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24 March, 20:21

Two classmates, Aisha and Brandon, want to attend two school activities

over the coming weekend. They have one parking pass between them. The

probabilities that the classmates will attend each event are shown in the

table.

Aisha

Brandon

0.90

0.71

Probability of attending

the Saturday activity

Probability of attending

the Sunday activity

0.68

0.89

They decide to let the person more likely to attend both events have the

parking pass. Assuming that attendance at one activity is independent of

attendance at the other, who is more likely to attend both activities?

A. Aisha. She has a 0.61 probability of attending both activities.

B. Brandon. He has a 0.71 probability of attending both activities.

C. Brandon. He has a 0.63 probability of attending both activities.

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Answers (1)
  1. 24 March, 23:41
    0
    C. Brandon. He has a 0.63 probability of attending both activities.

    Step-by-step explanation:

    Probability of attending Probability of attending

    the Saturday activity the Sunday activity

    Aisha 0.90 0.68

    Brandon 0.71 0.89

    Given that attendance at one activity is independent of attendance at the other, the probability that Aisha attends both activities is: 0.9*0.68 = 0.61, and the probability that Brandon attends both activities is: 0.71*0.89 = 0.63
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