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Ex 13.2, 3 A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the Probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.Given Total Number of oranges = 15 Number of Good oranges = 12 Number of Bad oranges = 3 Given that Box is approved for sale if all 3 oranges are good Now, Probability that box is approved for sale = Probability that first orange is good × Probability that second orange is good, given first is good × Probability that third orange is good, given first two are good = 12/15 × 𝟏𝟏/𝟏𝟒 × 𝟏𝟎/𝟏𝟑 = 44/91

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.