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 21190 Startfraction 21 over 190 End Fraction 780 Start Fraction 7 over 80 Endfraction 776 Startfraction 7 over 76 End Fraction 35

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

The total number of fruits in the basket is 5 (bananas) + 8 (mangoes) + 7 (apples) = 20.

The probability of selecting an apple and a banana can be calculated as follows:

Probability of selecting an apple on the first draw = 7/20
Probability of selecting a banana on the second draw = 5/19 (since 1 fruit has already been selected)
Total probability = (7/20) * (5/19) = 35/190 = 7/38

Therefore, the correct answer is 7/38.

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