document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197528>Question 1197528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An experiment consists of tossing 5 fair​ (not weighted)​ coins, except one of the  coins has 5 a head on both sides. Compute the probability of obtaining exactly  2 heads. </SPAN>\n" );
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document.write( "Ignoring one extra stray character \"5\" in the statement of the problem, it seems clear that the experiment involves tossing 5 fair coins, one of which has heads on both sides.<br><BR>\n" );
document.write( "So that coin will definitely come up heads.  So to find the probability that the result is exactly 2 heads, we need only find the probability that exactly 1 of the other 4 coins comes up heads.  Since all the coins are fair, that is an easy calculation.<br><BR>\n" );
document.write( "The probability of either heads or tails on each of the 4 coins is 1/2; and we need to choose 1 of the 4 coins to be the one that comes up heads:<br><BR>\n" );
document.write( "P(exactly 2 heads) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%284%2C1%29%2A%281%2F2%29%5E4=C%284%2C1%29%2F2%5E4=4%2F16=1%2F4 ALIGN=MIDDLE  ALT=\"C%284%2C1%29%2A%281%2F2%29%5E4=C%284%2C1%29%2F2%5E4=4%2F16=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
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