1.

The odds against Sushant solving a certain problem is 5 to 2 and odds in favour of Rahul solving the same problem are 7 to 5. What is the probability that the problem will be solved?1). \(\frac{7}{{10}}\)2). \(\frac{2}{5}\)3). \(\frac{{17}}{{30}}\)4). \(\frac{{59}}{{84}}\)

Answer»

Odds against Sushant is 5 : 2

Probability that he will SOLVE question = 2/7

Odds in FAVOUR of Sushant is 7 : 5

Probability that he will solve question = 7/12

Problem will be solved means EITHER Sushant or Rahul or both will be able to solve

⇒ P (A or B) = P(A) + P(B) - P (A and B)

⇒ P (A or B) = 2/7 + 7/12 - (2/7 x 7/12)

⇒ P (A or B) = 2/7 + 7/12 - 1/6

⇒ P (A or B) = (24 + 49 - 14)/84

∴ P (A or B) = 59/84


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