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, 3/5, 21/190, 7/80

3 answers

To calculate the probability of selecting an apple and a banana, we first need to find the total number of ways to select 2 fruits from the basket.

Total number of fruits = 5 + 8 + 7 = 20

Total number of ways to select 2 fruits out of 20 = 20C2 = (20*19) / (2*1) = 190

Next, we calculate the number of ways to select an apple and a banana.

Number of ways to select an apple = 7
Number of ways to select a banana = 5

Number of ways to select an apple and a banana = 7 * 5 = 35

Therefore, the probability of selecting an apple and a banana = (Number of ways to select an apple and a banana) / (Total number of ways to select 2 fruits)
= 35 / 190
= 7 / 38

Therefore, the correct response is 7/38.
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The correct response from the choices provided is: 7/38.