Suppose that one third of the cards in a scratch-and-win promotion gives a prize. a) Create a probability distribution to show the probabilities of winning within the first 4 tries. P(x) b) What is the probability that your first win will be on the 3rd try? c) What is the probability of winning a prize in fewer than 3 tries? d) What is the expected number of cards you would have to try before winning a prize?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Suppose that one third of the cards in a scratch-and-win promotion gives a prize.
a)
Create a probability distribution to show the probabilities of winning within the
first 4 tries.
P(x)
b) What is the probability that your first win will be on the 3rd try?
c) What is the probability of winning a prize in fewer than 3 tries?
d) What is the expected number of cards you would have to try before winning a prize?
Transcribed Image Text:Suppose that one third of the cards in a scratch-and-win promotion gives a prize. a) Create a probability distribution to show the probabilities of winning within the first 4 tries. P(x) b) What is the probability that your first win will be on the 3rd try? c) What is the probability of winning a prize in fewer than 3 tries? d) What is the expected number of cards you would have to try before winning a prize?
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