1.

If odds in favour of X solving a problem are 4 : 3 and odds against Y solving the same problem are 2 : 3. Find the probability of: (i) X solving the problem (ii) Y solving the problem

Answer»

(i) Odds in favour of X solving a problem are 4 : 3. ∴ The probability of X solving the problem is P(X) = 4/4+3 = 4/7

(ii) Odds against Y solving the problem are 2 : 3. 

∴ The probability of Y solving the problem is P(Y) = 1 – P(Y’)

= 1 – 2/2+3

= 1- 2/5

= 3/5



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