document.write( "Question 1152886: Now consider a biased coin that produces head 70% of the time. One tosses the coin twice. What is the probability that both tosses have the same outcome \n" ); document.write( "

Algebra.Com's Answer #775006 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The space of events is this set with the associated probabilities\r\n" );
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document.write( "    HH   0.7*0.7 = 0.49\r\n" );
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document.write( "    HT   0.7*0.3 = 0.21\r\n" );
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document.write( "    TH   0.3*0.7 = 0.21\r\n" );
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document.write( "    TT   0.3*0.3 = 0.09.\r\n" );
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document.write( "The probability that both tosses have the same output is\r\n" );
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document.write( "    P = P(HH) + P(TT) = 0.49 + 0.09 = 0.58.    ANSWER\r\n" );
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