# 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: Y 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: Y solving the problem

#### Solution

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

Concept: Odds (Ratio of Two Complementary Probabilities)
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