document.write( "Question 409990: If a fair coin is flipped and a card is randomly drawn what is the probability that the coin will land heads up or the card will be a heart? Why?\r
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document.write( "I know the probability of a coin flip is 1/2 and the probability of drawing a heart is 1/4 but I am confused on what to do next. Please help. Thanks! \n" );
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Algebra.Com's Answer #288417 by stanbon(75887) ![]() You can put this solution on YOUR website! If a fair coin is flipped and a card is randomly drawn what is the probability that the coin will land heads up or the card will be a heart? Why? \n" ); document.write( "---- \n" ); document.write( "These outcomes are independent events \n" ); document.write( "so you should multiply the individual \n" ); document.write( "probabilities. \n" ); document.write( "--- \n" ); document.write( "P(heads) = 1/2 \n" ); document.write( "P(heart) = 13/52 = 1/4 \n" ); document.write( "--- \n" ); document.write( "P(head and heart) = (1/2)(1/4) = 1/8 \n" ); document.write( "---- \n" ); document.write( "P(head or heart) = P(head)+p(heart)-P(head and heart) \n" ); document.write( "= 1/2 + 1/4 - 1/8 \n" ); document.write( "--- \n" ); document.write( "= 4/8 + 2/8 - 1/8 = 5/8 \n" ); document.write( "============================ \n" ); document.write( "------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |