Compound Events Quick Check
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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
776
Start Fraction 7 over 76 End Fraction
35
Start Fraction 3 over 5 End Fraction
780
Start Fraction 7 over 80 End Fraction
21190
Start Fraction 21 over 190 End Fraction
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35
Start Fraction 3 over 5 End Fraction
The probability of selecting an apple and a banana can be calculated as follows:
P(apple and banana) = (Number of ways to select an apple and a banana) / (Total number of ways to select 2 fruits)
Number of ways to select an apple and a banana = 7 (apples) * 5 (bananas) = 35
Total number of ways to select 2 fruits = (5+8+7) choose 2 = 20 choose 2 = 190
Therefore, P(apple and banana) = 35 / 190 = 3/5 = Start Fraction 3 over 5 End Fraction
So, the correct answer is 35, Start Fraction 3 over 5 End Fraction.