Maharashtra State BoardHSC Science (General) 11th
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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

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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

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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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