Question

question 6 of 25
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.

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. brandon. he has a 0.71 probability of attending both activities.
b. brandon. he has a 0.63 probability of attending both activities.
c. aisha. she has a 0.68 probability of attending both activities.
d. aisha. she has a 0.61 probability of attending both activities.

Explanation:

Step1: Calculate Aisha's probability

Since attendance at one activity is independent of the other, use the formula for independent events \(P(A\cap B)=P(A)\times P(B)\).
For Aisha, \(P = 0.90\times0.68\)

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Step2: Calculate Brandon's probability

For Brandon, \(P = 0.71\times0.89\)

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Answer:

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