document.write( "Question 1202421: A fair coin is flipped two times. What is the probability that the coin comes up heads first and then tails second? \n" ); document.write( "
Algebra.Com's Answer #837246 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: 1/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 4 outcomes when flipping a coin twice (i.e. flipping two coins simultaneously).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is the sample space of all four outcomes
\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The event HT represents getting heads first, then tails next. There's only one such occurrence out of 4 total. That's how we arrive at 1/4 as the final answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another way to look at it: \n" ); document.write( "1/2 = probability of getting heads on 1st toss \n" ); document.write( "1/2 = probability of getting tails on 2nd toss \n" ); document.write( "(1/2)*(1/2) = 1/4 = probability of getting heads then tails in that order \n" ); document.write( "Each coin flip is independent of any other. \n" ); document.write( " \n" ); document.write( " |