Question 857465
Calculate the probability that only one of the boys wins with the other two losing.
{{{P(B1,W)=1/2}}}
{{{P(B1,L)=1/2}}}
{{{P(B2,W)=1/3}}}
{{{P(B2,L)=2/3}}}
{{{P(B3,W)=1/4}}}
{{{P(B3,L)=3/4}}}
{{{P=P(B1,W)*P(B2,L)*P(B3,L)+P(B1,L)*P(B2,W)*P(B3,L)+P(B1,L)*P(B2,L)*P(B3,W)}}}
{{{P=(1/2)(2/3)(3/4)+(1/2)(1/3)(3/4)+(1/2)(2/3)(1/4)}}}
{{{P=(6/24)+(3/24)+(2/24)}}}
{{{P=11/24}}}