document.write( "Question 1193277: (a) Among the three coins, one has heads on both the faces the second has tails on both the faces, and the third has a head on one face and a tail on the other. A coin chosen at random and tossed. The result is a head. What is the probability that the opposite face is a tail? \n" ); document.write( "

Algebra.Com's Answer #825283 by ikleyn(52874) $\"\"$ $\"About$

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\n" ); document.write( "(a) Among the three coins, one has heads on both the faces the second has tails on both the faces,
\n" ); document.write( "and the third has a head on one face and a tail on the other. A coin chosen at random and tossed.
\n" ); document.write( "The result is a head. What is the probability that the opposite face is a tail?
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document.write( "We are given that \r\n" );
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document.write( "    |   a coin is chosen at random from the 3 coins and tossed;  |\r\n" );
document.write( "    |             the result is a head (H).    (*)               |\r\n" );
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document.write( "It means that the chosen coin is either HH-coin or HT-coin, but not TT-coin.\r\n" );
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document.write( "Then in this reduced set of coins (HH-coin,HT-coin) we have only two possibilities for the opposite side:\r\n" );
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document.write( "    H from HH-coin or T from HT-coin, each of these two \r\n" );
document.write( "        possibilities with the probability 1/2.\r\n" );
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document.write( "So, under the given condition (*), the probability to have the opposite side T is 1/2.    ANSWER\r\n" );
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