document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #851807 by ikleyn(52798)\"\" \"About 
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\n" ); document.write( "A coin flip determines who gets the ball first at the beginning of a football game,
\n" ); document.write( "with the visiting team calling heads or tails. The captain of one particular team
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\n" ); document.write( "find the probability that his team wins the toss more than once.
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document.write( "In this problem, the experiment is tossing the coin 4 times with the probability of success\r\n" );
document.write( "at each individual tossing p = 0.5 (getting the head).\r\n" );
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document.write( "In all, the experiment has  \"2%5E4\" = 16 different independent outcomes.\r\n" );
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document.write( "The favorable outcomes of the experiment are getting the head more than once in 4 tossing.\r\n" );
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document.write( "The complementary outcomes are getting the head 0 or 1 time in 4 tossing.\r\n" );
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document.write( "        There are 1+4 = 5 possible complementary outcomes (TTTT, HTTT, THTT, TTHT, TTTH).\r\n" );
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document.write( "Therefore, the complementary probability is  \"5%2F16\".\r\n" );
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document.write( "Hence, the probability under the problem's question is  \"1+-+5%2F16\" = \"11%2F16\".    ANSWER\r\n" );
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