Question

Two classmates, Aisha and Brandon, want to attend twoschool activities over the coming weekend. They have oneparking pass between them. The probabilities that theclassmates will attend each event are shown in the table.They decide to let the person more likely to attend both eventshave the parking pass. Assuming that attendance at oneactivity is independent of attendance at the other, who is morelikely to attend both activities?

Answer 1

Given that the attendance to one activity is independent of attendance at the other, then:

Let Pa the joint probability of attendance to both activities of Aisha and Pb the joint probability of attendance to both activities of Pa the :

Pa = 0.90 x 0.68 = 0.61

Pb = 0.71 x 0.89 = 0.63

Then Brandon is more likely to attend both activities because Pb = 0.63 > Pa = 0.61.