Question

Three cars a, b, and c are participating in a race. A is twice as likely as b to win and b is thrice as likely as c to win. What is the probability that b will win, if only one of them can win the race?

Answer 1

Answer:

3/10

Step-by-step explanation:

Three cars a, b, and c are participating in a race. A is twice as likely as b to win and b is thrice as likely as c to win. What is the probability that b will win, if only one of them can win the race?

Let c is likely to win race = C

then b is likely to win = 3C

then a is likely to win = 2(3C) = 6C

C + 3C + 6C = 10C

=> 10C = 1

=> C = 1/10

the probability that b will win =  3C  = 3/10