In the Virginia instant lottery, there are 10 different $5 Scratcher games. Your favorite, "Hit the Jackpot," is advertised to have a 1-in-4.37 chance of winning, and a 1-in-664,457 chance of hitting the top prize of $200,000. All of the seven top prizes are still available. If you buy five of these tickets and outcomes are independent, the probability that you will not win the jackpot is:
A)0.9.
B)0.95.
C)0.99.
D)0.999.

Question

Quizplus · Accepted Answer

The probability of winning the jackpot in one ticket is 1/664457. Therefore, the probability of not winning the jackpot in one ticket is (1-1/664457) = 664456/664457. 
Since the outcomes are independent, the probability of not winning the jackpot in five tickets is (664456/664457)^(5) = 0.999. 
Therefore, the best choice is D, with a probability of 0.999 that you will not win the jackpot.

In the Virginia Instant Lottery, There Are 10 Different $5