Solveeit Logo
Login

Question

Question: The odds in favour of A solving a problem are 3 to 4 and the odds against B solving the same problem...

The odds in favour of A solving a problem are 3 to 4 and the odds against B solving the same problem are 5 to 7. If they both try the problem, the probability that the problem is solved is-

A

41/84

B

16/21

C

5/21

D

¼

Answer

16/21

Explanation

Solution

Odds in favour of A = 3 : 4; P(1) =37\frac { 3 } { 7 }

odd's against B = 5 : 7; P(2) = 712\frac { 7 } { 12 }

P(A  B) = 1 – P((1−712)\left( 1 - \frac { 7 } { 12 } \right)