document.write( "Question 1132005: Two fair coins were tossed and it is known that at least one was a head. Find the probability that they were both heads.
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Algebra.Com's Answer #748797 by ikleyn(52777)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "When two fair coins are tossed, the space of events consists of four elements\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "HH (*)\r\n" ); document.write( "HT (*)\r\n" ); document.write( "TH (*)\r\n" ); document.write( "TT\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Of them, the sub-space consisting of three elements, marked (*) in the list, is the sub-space \"at least one is head\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In this sub-space of three elements, only one HH is \"two heads\", or, equivalently, \"both heads\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore, the conditional probability under the question is\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |