An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times? 36 21 7! (2) (0.2)²(0.8) (0.2)² (0.8)5 O2(0.2)(0.8) (0.2)²(0.8)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...
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An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again
replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win
a prize exactly two times?
36
21
7!
(2) (0.2)²(0.8)
(0.2)²
(0.8)5
O2(0.2)(0.8)
(0.2)²(0.8)
Transcribed Image Text:An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times? 36 21 7! (2) (0.2)²(0.8) (0.2)² (0.8)5 O2(0.2)(0.8) (0.2)²(0.8)
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