Question

Three horses A, B and C are in a race 'A' is twice as likely to win as B and 'B' is
twice as likely to win as C. What are their probabilities of winning?​

Answer 1

$\rm\bf\underline{Question:}$

Three horses A, B and C are in a race 'A' is twice as likely to win as B and 'B' is

twice as likely to win as C. What are their probabilities of winning?

$\rm\bf\underline{Solution:}$

first of all assume that  probability of winning of  C is "X"

So according to the question probability of Winning of B will be 2X

and then again the probability of  winning of A  will be=  2*2X =4X

Also in this case of probability  X+2X+4X = 1

 hence by solving it                  7X=1 

So the X=1/7

Which means the probability  for horse C will be 1/7

The the probability of winning of horse B will be = 2/7

And the winning of probability  for horse A will be = 2*2/7 = 4/7

Answer 2

first of all assume that probability of winning of C is "X"

So according to the question probability of Winning of B will be 2X

and then again the probability of winning of A will be= 2*2X =4X

Also in this case of probability X+2X+4X = 1

hence by solving it 7X=1

So the X=1/7

Which means the probability for horse C will be 1/7

The the probability of winning of horse B will be = 2/7

And the winning of probability for horse A will be = 2*2/7 = 4/7