A grocery chain runs a prize game by giving each customer a ticket that may win a prize when a box is scratched. Printed on the ticket are the following probabilities for a customer who shops once a week:

What is the probability of winning nothing?
A) 0.31
B) 0.50
C) 0.69
D) 0.80
E) 0

Question

A grocery chain runs a prize game by giving each customer a ticket that may win a prize when a box is scratched. Printed on the ticket are the following probabilities for a customer who shops once a week:

What is the probability of winning nothing?

What is the probability of winning nothing?
A) 0.31 
B) 0.50 
C) 0.69 
D) 0.80 
E) 0

Quizplus · Accepted Answer

The probability of winning nothing is the product of the probabilities of not winning any of the listed prizes. Therefore, P(nothing) = 0.7 × 0.8 × 0.9 = 0.504, or about 0.69 when rounded to two decimals. Thus, the correct option is C.

A Grocery Chain Runs a Prize Game by Giving Each