document.write( "Question 898152: Four runners are competing for a gold medal in 400 meters hurdles. Runner B is twice as likely to win as A. Runner C is twice as likely to win as B and Runner D is twice as likely to win as C. Determine the probability of each runner winning. What is the probability that runner C and D will win the race? \n" ); document.write( "
Algebra.Com's Answer #544822 by stanbon(75887)\"\" \"About 
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Four runners are competing for a gold medal in 400 meters hurdles. Runner B is twice as likely to win as A. Runner C is twice as likely to win as B and Runner D is twice as likely to win as C. Determine the probability of each runner winning. What is the probability that runner C and D will win the race?
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\n" ); document.write( "P(A wins) = x
\n" ); document.write( "P(B wins) = 2x
\n" ); document.write( "P(C wins) = 4x
\n" ); document.write( "P(D wins) = 8x
\n" ); document.write( "-----
\n" ); document.write( "Solve for x::
\n" ); document.write( "x + 2x + 4x + 8x = 1
\n" ); document.write( "15x = 1
\n" ); document.write( "x = 1/15 - P(A wins)
\n" ); document.write( "2x = 2/15 = P(B wins)
\n" ); document.write( "4x = 4/15 = P(C wins)
\n" ); document.write( "8x = 8/15 = P(E wins)
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\n" ); document.write( "P(C AND D win) = ?
\n" ); document.write( "Note: They cannot both win.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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