A basket of fruits contains 5 bananas, 8 mangoes, and 7 apples. Two fruits are randomly selected without replacement. Calculate the probability of selecting an apple and a banana

Answer 1

There are a total of 20 fruits in the basket.

The probability of selecting an apple first is 7/20.
After selecting an apple, there are 19 fruits remaining in the basket, out of which 5 are bananas.
So, the probability of selecting a banana next is 5/19.

Therefore, the probability of selecting an apple and then a banana is: (7/20) * (5/19) = 35/380 = 7/76.

So, the probability of selecting an apple and a banana is 7/76 or approximately 0.0921.