There are three different types of circus prizes marked big (B), medium (M) and little (Z). Each contains a certain number of red (R) and gold (G) balls, distributed as follows . big prize (B) 5R and 8G . medium prize (M) 3R and 2G . little prize (L) 2R and 1G Your friend wins 3 big prizes, 1 medium prize and 2 little prizes Without looking, you randomly reach into one of her prizes, and randomly take out one of its balls, which happens to be gold (G) Calculate the probability that you were choosing from a medium prize bag

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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There are three different types of circus prizes marked big (B), medium (M) and little (L). Each contains a certain
number of red (R) and gold (G) balls, distributed as follows
big prize (B) 5R and 8G
. medium prize (M) 3R and 2G
. little prize (L) 2R and 1G
.
Your friend wins 3 big prizes, 1 medium prize and 2 little prizes Without looking, you randomly reach into one of
her prizes, and randomly take out one of its balls, which happens to be gold (C). Calculate the probability that you
were choosing from a medium prize bag
P(MIG) = Number
Note: your answer should be entered with at least 2 significant figures
Hint: formulate the question as a conditional probability
Transcribed Image Text:There are three different types of circus prizes marked big (B), medium (M) and little (L). Each contains a certain number of red (R) and gold (G) balls, distributed as follows big prize (B) 5R and 8G . medium prize (M) 3R and 2G . little prize (L) 2R and 1G . Your friend wins 3 big prizes, 1 medium prize and 2 little prizes Without looking, you randomly reach into one of her prizes, and randomly take out one of its balls, which happens to be gold (C). Calculate the probability that you were choosing from a medium prize bag P(MIG) = Number Note: your answer should be entered with at least 2 significant figures Hint: formulate the question as a conditional probability
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