At an amusement park, the probability that a child eats a hot dog and drinks a soda pop is 0.47. The probability that a child eats a hot dog is 0.69 and the probability that a child drinks soda pop is 0.86. What is the probability (rounded to the nearest hundredth) that a child drinks soda pop given that the child has already eaten a hot dog?

Hint: P (A|B) = P (A∩B) / P (B)

0.55

0.40

0.32

0.68

option D

0.68

Step-by-step explanation:

Conditional Probability:

Finding the probability of an event given that something else has already happened.

p (A) = The probability that a child eats a hot dog = 0.69

p (B) = The probability that a child drinks soda pop = 0.86

p (A∩B) = The probability that a child eats a hot dog and drinks a soda pop = 0.47

Formula to use

P (A|B) = P (A∩B) / P (A)

= 0.47 / 0.69

= 0.68