Question

At a basketball game,80 of the fans cheered fpr team A in the same crowd,20 of the fans were waving banners and cheering for team A. What os the probability that a fan waved a banner give that the fan cheered for team A

Answer 1

The probability that a fan is waving a banner given that the fan is cheering for team A is 0.25.

Explanation:

The percentage of fans cheering for team A is, 80%.

The percentage of fans waving banners and cheering from team A is, 20%.

The probability that a fan is cheering is: P (C) = 0.80.

The probability that a fan is waving banners and cheering is:

P (W ∩ C) = 0.20.

The conditional probability of an event X provided that another event A has already occurred is:

`P(X|A)=(P(X\cap A))/(P(A))`

Compute the conditional probability that a fan is waving a banner given that the fan is cheering for team A as follows:

`P(W|C)=(P(W\cap C))/(P(C))=(0.20)/(0.80)= 0.25`

Thus, the probability that a fan is waving a banner given that the fan is cheering for team A is 0.25.