# If odds in favour of X solving a problem are 4:3 and odds against Y solving the same problem are 2:3. Find probability of: X solving the problem - Mathematics and Statistics

Sum

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

#### Solution

Let X ≡ the event that X solves the problem

Y ≡ the event that Y solves the problem

Odds in favour of X solving the problem are 4 : 3

∴ P(X) = 4/(4 + 3)

= 4/7

Concept: Odds (Ratio of Two Complementary Probabilities)
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