document.write( "Question 549504: After tossing some coins, it is observed that the probability of obtaining 10 heads
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document.write( "and 15 tails is the same as the probability of obtaining 15 heads and 10 tails. Find
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document.write( "the least number of coins tossed \n" );
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Algebra.Com's Answer #357819 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! After tossing some coins, it is observed that the probability of obtaining 10 heads and 15 tails \n" ); document.write( "is the same as the probability of obtaining 15 heads and 10 tails. \n" ); document.write( "Find the least number of coins tossed \n" ); document.write( "-------------------- \n" ); document.write( "P(10 h and 15 t) = nC10(1/2)^n \n" ); document.write( "--- \n" ); document.write( "P(15 h and 10 t) = nC15(1/2)^n \n" ); document.write( "--- \n" ); document.write( "nC10 = nC15 \n" ); document.write( "--- \n" ); document.write( "n!/(n-15)!*15! = n!/(n-10)!*10! \n" ); document.write( "------ \n" ); document.write( "(n-15)!*15! = (n-10)!*10! \n" ); document.write( "--- \n" ); document.write( "(n-15)!*15*14*13*12*11 = (n-10)! \n" ); document.write( "--- \n" ); document.write( "15*14*13*12*11 = (n-10)(n-11)(n-12)(n-13)(n-14) \n" ); document.write( "--- \n" ); document.write( "So n-10 = 15 \n" ); document.write( "n = 25 \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |