I basket of fruits contains five bananas, eight mangoes and seven apples. Two fruits are randomly selected without replacement. Calculate the probability of selecting an apple and a banana.
There are a total of 20 fruits in the basket.
The probability of selecting an apple on the first pick is 7/20.
After selecting an apple, there are now only 19 fruits left in the basket, with 5 of them being bananas.
The probability of selecting a banana on the second pick is 5/19.
Therefore, the probability of selecting an apple and a banana is:
(7/20) * (5/19) = 35/380 = 7/76
So the probability of selecting an apple and a banana is 7/76.