Question 1165577: A coin flip determines who gets the ball first at the beginning of a football game, with the visiting team calling heads or tails. The captain of one particular team always calls for heads. In the first four games as a visitor of a season, find the probability that his team wins the toss more than once.
Answer by ikleyn(52794)   (Show Source):
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A coin flip determines who gets the ball first at the beginning of a football game,
with the visiting team calling heads or tails. The captain of one particular team
always calls for heads. In the first four games as a visitor of a season,
find the probability that his team wins the toss more than once.
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In this problem, the experiment is tossing the coin 4 times with the probability of success
at each individual tossing p = 0.5 (getting the head).
In all, the experiment has  = 16 different independent outcomes.
The favorable outcomes of the experiment are getting the head more than once in 4 tossing.
The complementary outcomes are getting the head 0 or 1 time in 4 tossing.
There are 1+4 = 5 possible complementary outcomes (TTTT, HTTT, THTT, TTHT, TTTH).
Therefore, the complementary probability is  .
Hence, the probability under the problem's question is  =  . ANSWER
Solved.
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