SOLUTION: If a boy tosses a coin twice, and if the last result is a tail, he throws a die (a) How many possible final outcomes are there? (b)what is the probability of getting a he

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Question 663755: If a boy tosses a coin twice, and if the last result is a tail, he throws a die
(a) How many possible final outcomes are there?
(b)what is the probability of getting a head, tail and a 6 in that order
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
If a boy tosses a coin twice, and if the last result is a tail, he throws a die
(a) How many possible final outcomes are there?
Outcome  1: H, H        Probability = (1/2)(1/2) = 1/4
Outcome  2: H, T, 1     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome  3: H, T, 2     Probability = (1/2)(1/2)(1/6) = 1/24    
Outcome  4: H, T, 3     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome  5: H, T, 4     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome  6: H, T, 5     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome  7: H, T, 6     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome  8: T, H        Probability = (1/2)(1/2) = 1/4
Outcome  9: T, T, 1     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome 10: T, T, 2     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome 11: T, T, 3     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome 12: T, T, 4     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome 13: T, T, 5     Probability = (1/2)(1/2)(1/6) = 1/24
Outcome 14: H, T, 6     Probability = (1/2)(1/2)(1/6) = 1/24

So there are 14 outcomes, but they are not all equally likely.

(b)what is the probability of getting a head, tail and a 6 in that order
That's the outcome I colored red above.  That's 1%2F24

Edwin