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Probability

Question
CBSEENMA12033686

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.

Solution

Number of good oranges = 12
Number of bad oranges = 3
∴  total number of oranges = 12 + 3 = 15
Required probability = P(3 good oranges taken without replacement)
equals space 12 over 15 cross times 11 over 14 cross times 10 over 13 space equals 44 over 91

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