Question
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: Y solving the problem

Answer

Odds against Y solving the problem are 2 : 3.

∴ The probability of Y solving the problem is

P(Y) = 1 – P(Y’)

$\begin{aligned} & =1-\frac{2}{2+3} \\ & =1-\frac{2}{5} \\ & =\frac{3}{5}\end{aligned}$

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