document.write( "Question 166315: the odds in favor of Trudy beating her friend in a round of golf are 1:9. Find the probability that Trudy will lose. \n" ); document.write( "
Algebra.Com's Answer #122572 by stanbon(75887)\"\" \"About 
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the odds in favor of Trudy beating her friend in a round of golf are 1:9. Find the probability that Trudy will lose.
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\n" ); document.write( "Formula: \"odds FOR event A\" = P(A)/P(not A)
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\n" ); document.write( "Your Problem:
\n" ); document.write( "1:9 = P(A)/P(not A)
\n" ); document.write( "P(A) = (1/9)*P(not A)
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\n" ); document.write( "But P(A) + P(not A) = 1
\n" ); document.write( "So, P(not A) = 1 - P(A)
\n" ); document.write( "And P(not A) = 1 - [(1/9)P(not A)]
\n" ); document.write( "(10/9)P(not A) = 1
\n" ); document.write( "P(not A) = 9/10\r
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\n" ); document.write( "That was a bit long-winded. Here's a shorter version.
\n" ); document.write( "Since odds FOR = 1:9
\n" ); document.write( "P(A) = 1/(1+9) = 1/10
\n" ); document.write( "So P(A') = 9/10
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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