a basket of fruits contain 5 bananas, 8 mangoes, and 7 apples. two fruits are randomly selected without replacement. calculate the probability of selecting an apple and a banana.
7/76
3/5
21/190
7/80
chose the correct one
The total number of fruits in the basket is 5 + 8 + 7 = 20.
The probability of selecting an apple on the first pick is 7/20.
After selecting the apple, there are now 19 fruits left, with 5 bananas and 8 mangoes remaining. So, 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 correct answer is 7/76.