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)
To find the probability of selecting an apple and a banana, we first need to calculate the total number of ways to select 2 fruits from the basket.
Total number of ways to select 2 fruits = (5 + 8 + 7) choose 2 = 20 choose 2 = 190 ways
Next, we need to calculate the number of ways to select 1 apple and 1 banana.
Number of ways to select 1 apple = 7 choose 1 = 7 ways
Number of ways to select 1 banana = 5 choose 1 = 5 ways
Therefore, the number of ways to select 1 apple and 1 banana = 7 * 5 = 35 ways
Finally, we can calculate the probability of selecting an apple and a banana by dividing the number of ways to select 1 apple and 1 banana by the total number of ways to select 2 fruits:
Probability of selecting an apple and a banana = 35 / 190 = 0.1842
So, the probability of selecting an apple and a banana is approximately 0.1842.