Question

Debra has to decide on paint colors for her house. There is a 90% chance she will chose gray for the living room. There is a 70% chance she will chose blue for her bedroom and there is a 75% chance she will choose yellow for the kitchen. Given that there is a 62% chance she has both gray and yellow in her house and a 73% chance she has both blue and yellow in her house what is the probability she chooses blue for the bedroom given her kitchen is yellow?

A) 0.05
B) 0.53
C) 0.83
D) 0.97

Answer 1

D) 0.97

Explanation:

P(blue | yellow) = P(blue and yellow) / P(yellow)

P(blue | yellow) = 0.73 / 0.75

P(blue | yellow) = 0.97

D