Question

In a restaurant, the probability that a customer orders steak is 4/10. The probability of the same customer ordering dessert after their meal is ¼. What is the probability that a random restaurant customer will order dessert given that they ordered steak?

A. 1/10

B. 2/8

C. 4/10

D. 5/8

Answer 1

The answer is D. 5/8.
You have to divide the second event by the first event, so you have to divide 1/4 by 4/10.
You can just put that into your calculator and get 5/8, or you can multiply 1/4 by the reciprocal of 4/10, which is 10/4.
1/4 times 10/4 equals 5/8, therefore, the answer is 5/8.