SOLUTION: with each purchase of a large pizza at tony's pizza, the customer receives a coupon that can be scratched to see if a prize will be awarded. the odds of winning a free soft drink a

Question 1148497: with each purchase of a large pizza at tony's pizza, the customer receives a coupon that can be scratched to see if a prize will be awarded. the odds of winning a free soft drink are 1 in 10 and the odds of winning a free large pizza are 1 in 50. you plan to eat lunch tomorrow at tonys. what is the probability;
a. that you will win either a large pizza or a soft drink?
b. that you will not win a prize?
c. that you will not win a prize on three consecutive visits to tonys ?
d. that you will win at least one prize on one of your next three visits to tonys?
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!

The "1 in 10" and "1 in 50" are probabilities, not odds.

a. P(pizza or large drink) = 1/50+1/10 = 6/50 = 3/25

b. P(neither) = 1 - P(pizza or large drink) = 1-3/25 = 22/25

c. P(neither 3 times in a row) = (22/25)^3 = 10648/15626

d. P(at least one in next 3 visits) = 1 - P(neither in any of next 3 visits) = 1-10648/15626 = 4977/15625

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