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.(1 point)
Responses
7/76
21/190
7/80
3/5
The probability of selecting an apple and a banana can be calculated by dividing the total number of ways to select one apple and one banana by the total number of ways to select two fruits from the basket.
The number of ways to select one apple and one banana is (7 choose 1) * (5 choose 1) = 35.
The total number of ways to select two fruits from the basket is (20 choose 2) = 190.
Therefore, the probability of selecting an apple and a banana is 35/190, which simplifies to 7/38.
The correct answer is option B) 7/190.