In the Happy Hilltop Health Home, 10% of the residents play shuffleboard, 35% of the residents play poker, and 15% of the residents garden. If 5% of the residents play poker
And garden, find the probability that a resident plays poker, given that they also garden.
A) 14.3%
B) 5.9%
C) 33.3%
D) 7.7%

Question

Quizplus · Accepted Answer

The probability that a resident plays poker given that they also garden is found using the formula for conditional probability: P(A|B) = P(A and B) / P(B). Here, A is the event of playing poker, and B is the event of gardening. Given that 5% of the residents play poker and garden (P(A and B) = 5%), and 15% of the residents garden (P(B) = 15%), the probability is P(A|B) = 5% / 15% = 33.3%.

In the Happy Hilltop Health Home, 10% of the Residents