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
780
Start Fraction 7 over 80 End Fraction
776
Start Fraction 7 over 76 End Fraction
35
Start Fraction 3 over 5 End Fraction
21190
To calculate the probability of selecting an apple and a banana, we need to first find the total number of ways to select 2 fruits out of the total fruits in the basket.
Total number of fruits = 5 bananas + 8 mangoes + 7 apples = 20 fruits
Total number of ways to select 2 fruits out of 20 = 20 choose 2 = (20 * 19) / (2 * 1) = 190
Next, we need to find the number of ways to select an apple and a banana.
Number of ways to select 1 apple out of 7 and 1 banana out of 5 = 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
So, the correct answer is:
Start Fraction 7 over 80 End Fraction