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
776
Start Fraction 7 over 76 End Fraction
780
Start Fraction 7 over 80 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 find the probability of selecting an apple first, and then the probability of selecting a banana second.
Probability of selecting an apple:
Number of apples = 7
Total number of fruits = 5 + 8 + 7 = 20
Probability = 7/20
After selecting an apple, the total number of fruits is reduced by 1, and the total number of apples is reduced by 1.
Probability of selecting a banana:
Number of bananas = 5
Total number of fruits = 19
Probability = 5/19
Now, to find the probability of both events happening, we multiply the probabilities:
(7/20) * (5/19) = 35/380 = 7/76
Therefore, the probability of selecting an apple and a banana is 7/76.