Question

In a box carrying one dozen of mangoes, one third have become bad. If 3 mangoes are taken out from the box at random, what is the probability that at least one mango out of the three mangoes picked up is good

Answer 1

There are 12C3 = 220 combinations to choose 3 mangos from the dozen.

The number of bad mangos is $\frac{1}{3} *12=4.$ The combinations for which the 3 mangos are bad is 4C3 = 4.

Therefore, the number of combinations which have at least one good mango is 220-4 = 216. Which makes the probability 216/220 = 54/55.

Answer 2

Answer:

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