Q.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 oranges out of which are good and are bad ones will be approved for sale.
Total oranges = 15
Good oranges = 12
Bad oranges = 3
Let be the probability that first orange is good.
The, we have
Let be the probability that second orange is good.
Let be the probability that third orange is good.
The probability that a box will be approved for sale