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)Responses776Start Fraction 7 over 76 End Fraction21190 Start Fraction 21 over 190 End Fraction780 Start Fraction 7 over 80 End Fraction35 Start Fraction 3 over 5 End Fraction

Answer 1

First, calculate the total number of ways to choose 2 fruits out of the 20 in the basket:

C(20, 2) = 20! / (2!(20-2)!) = 190

Next, calculate the number of ways to choose 1 apple out of the 7 apples and 1 banana out of the 5 bananas:

C(7, 1) * C(5, 1) = 7 * 5 = 35

Therefore, the probability of choosing an apple and a banana is:

35 / 190 = 7 / 38

So, the correct answer is:

Start Fraction 7 over 38 End Fraction