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

Answer:

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

Step-by-step 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:

$P(X|A)=\frac{P(X\cap A)}{P(A)}$

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

$P(W|C)=\frac{P(W\cap C)}{P(C)}=\frac{0.20}{0.80}= 0.25$

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