SOLUTION: A fair coin is tossed. If a head turns up, a fair die is tossed ; if a tail turns up, 2 fair dice are tossed. What is the probability that the face (or sum of the faces) o

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Question 1016318: A fair coin is tossed. If a head turns up, a fair die is
tossed ; if a tail turns up, 2 fair dice are tossed. What
is the probability that the face (or sum of the faces)
or the die (or dice) is equal to 6?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
P(T&6 or H&1&5 or H&2&4 or H&3&3 or H&4&2 or H&5&1) =

P(T&6) + P(H&1&5) + P(H&2&4) + P(H&3&3) + P(H&4&2) + P(H&5&1)

P(T&6) = (1/2)(1/6) = 1/12 =  6/72
P(H&1&5) = (1/2)(1/6)(1/6) =  1/72
P(H&2&4) = (1/2)(1/6)(1/6) =  1/72
P(H&3&3) = (1/2)(1/6)(1/6) =  1/72
P(H&4&2) = (1/2)(1/6)(1/6) =  1/72
P(H&5&1) = (1/2)(1/6)(1/6) =  1/72 
----------------------------------
                     Total = 11/72 

Edwin
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