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 3/5 Start Fraction 3 over 5 End Fraction 7/80 Start Fraction 7 over 80 End Fraction 21/190 Start Fraction 21 over 190
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 out of the 20 fruits in the basket.
Total number of ways to select 2 fruits out of 20 = 20 choose 2 = 20! / (2!(20-2)!) = 190
Next, we need to find the number of ways to select an apple and a banana. There are 7 apples and 5 bananas, so the number of ways to select an apple and a banana is 7 * 5 = 35.
Therefore, the probability of selecting an apple and a banana is:
Number of ways to select an apple and a banana / Total number of ways to select 2 fruits = 35 / 190 = 7/38
So, the correct answer is:
7/38