Question

Three horses A,B and C are in race. A is twice likely to win as B and B is twice as to win as C.What is the probability that B or C wins?

Answer 1

Let P(A) = x
Then we can write:
P(B) = x/2
and
P(C) = x/4
Assuming that dead heats are not allowed, the sum of the probabilities must equal 1:
\[\large x+\frac{x}{2}+\frac{x}{4}=1\ ................(1)\]
When you solve equation (1) you will have the probability that A wins. Then you can find the required probability from:
\[\large P(B \cup C)=1-P(A)\]

Answer 2

thanks to you

Answer 3

You're welcome :)