Question

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

35
Start Fraction 3 over 5 End Fraction

21190
Start Fraction 21 over 190 End Fraction

780
Start Fraction 7 over 80 End Fraction

776

Answer 1

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 bananas + 8 mangoes + 7 apples = 20 fruits

Total number of ways to select 2 fruits = 20 choose 2 = 20! / (2! * (20-2)!) = 190

Next, we need to find the number of ways to select 1 apple and 1 banana.

Number of ways to select 1 apple = 7 choose 1 = 7
Number of ways to select 1 banana = 5 choose 1 = 5

Number of ways to select 1 apple and 1 banana = 7 * 5 = 35

Finally, the probability of selecting an apple and a banana is:
Probability = Number of ways to select 1 apple and 1 banana / Total number of ways to select 2 fruits
Probability = 35 / 190 = 7 / 38

Therefore, the correct answer is:
(7/38) or Start Fraction 7 over 38 End Fraction.