A gambler has one pair of fair dice and one pair of loaded (unfair) dice. For the loaded dice, the probability of rolling a sum of seven is 1/5. If a pair of dice is chosen at random and a sum of seven occurs, what is the probability the dice were loaded?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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22 A gambler has one pair of fair dice and one pair of loaded (unfair) dice. For the loaded dice,
the probability of rolling a sum of seven is 1/5. If a pair of dice is chosen at random and a
sum of seven occurs, what is the probability the dice were loaded?
а) 613
g) none of the others
c) 35
d) 1/6
e) 6/11 f 1/36
b) 12
Transcribed Image Text:22 A gambler has one pair of fair dice and one pair of loaded (unfair) dice. For the loaded dice, the probability of rolling a sum of seven is 1/5. If a pair of dice is chosen at random and a sum of seven occurs, what is the probability the dice were loaded? а) 613 g) none of the others c) 35 d) 1/6 e) 6/11 f 1/36 b) 12
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