SOLUTION: Three students Camille, Danielle and Erika are in a race. Camille and Danielle have the same probability of winning is twice as likely to win as Erika. Find the probability that a

Algebra ->  Probability-and-statistics -> SOLUTION: Three students Camille, Danielle and Erika are in a race. Camille and Danielle have the same probability of winning is twice as likely to win as Erika. Find the probability that a      Log On


   

Question 1106286: Three students Camille, Danielle and Erika are in a race. Camille and Danielle have the same probability of winning is twice as likely to win as Erika. Find the probability that
a. Camille wins
b. Danielle wins
c. Erika wins
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
x = P(E wins)
P(C wins) = 2x
P(D wins) = 2x

P(E wins OR C wins OR D wins) = x + 2x + 2x = 1
                                         5x = 1
                                          x = 1/5

P(E wins) = x  = 1/5
P(C wins) = 2x = 2(1/5) = 2/5
P(D wins) = 2x = 2(1/5) = 2/5 

Edwin