SOLUTION: Following are three sets of letters. Draw one letter from Set 1 and place it in Set 2. Then draw one letter from Set 2 and place it in Set 3. Finally, draw a letter from Set 3. Wha

Algebra ->  Probability-and-statistics -> SOLUTION: Following are three sets of letters. Draw one letter from Set 1 and place it in Set 2. Then draw one letter from Set 2 and place it in Set 3. Finally, draw a letter from Set 3. Wha      Log On


   

Question 390790: Following are three sets of letters. Draw one letter from Set 1 and place it in Set 2. Then draw one letter from Set 2 and place it in Set 3. Finally, draw a letter from Set 3. What is the probability that the last letter drawn is a B?
Set 1
BCB
Set 2
BB
Set 3
B
Answer by stanbon(75887) About Me  (Show Source):
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Following are three sets of letters. Draw one letter from Set 1 and place it in Set 2. Then draw one letter from Set 2 and place it in Set 3. Finally, draw a letter from Set 3. What is the probability that the last letter drawn is a B?
Set 1
BCB
Set 2
BB
Set 3
B
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To fail to get a "B" you would have to get the C from set1 to set2 to set3
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P(C out of 3) = (1/3)*(1/3)(1/2) = 1/18
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P(B out of 3) = 1-1/18 = 17/18
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Cheers,
Stan H.