SOLUTION: Toss a coin five times and observe the sequence of heads or tails. In how many of the sequence are the first three tosses identical?

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Question 1120002: Toss a coin five times and observe the sequence of heads or tails. In how many of the sequence are the first three tosses identical?
Found 3 solutions by rothauserc, math_helper, MathTherapy:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
Total number of possible events = 2^5 = 32
:
Let H be heads and T be tails, then we have
:
HHHT* where * is either a H or a T = 2 events
:
TTTH* = 2 events
:
Therefore a total of 4 events where the first three tosses are identical
:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
I think that should be events:


TTTxy
HHHxy

where xy = {HH, HT, TH, TT} so four for TTT and four for HHH.

Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!
Toss a coin five times and observe the sequence of heads or tails. In how many of the sequence are the first three tosses identical?
MathHelper is CORRECT! IGNORE any other INCORRECT answers. Here are the 8 (EIGHT) outcomes:

The Hs:     HHHHH

            HHHHT

            HHHTH

            HHHTT



The Ts:     TTTHH

            TTTHT

            TTTTH

            TTTTT 

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