Question

Suppose it is estimated that a person visiting Florida will visit Disney World, Busch Gardens, or both with probabilities 0.5, 0.3, and 0.2, respectively. Find the probability that a person visiting Florida will visit Busch Gardens given that the person did visit Disney World. (Enter your probability as a fraction.)

Answer 1

Answer on Question 38879, Math, Statistics and Probability You will need Baye's theorem here

$$P(A|B) = \frac{P(B|A) P(A)}{P(B)}$$

Here $A$ is visiting both Disney World and Busch Gardens, $B$ is visiting Disney World, $P(B|A)$ is probability to visit Disney World when both Disney World and Busch Gardens were visited and its obviously equal to 1. Hence we have

$$P(A|B) = \frac{1 \cdot 0.2}{0.5} = 0.4 = \frac{2}{5}$$