Question

A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jonas picks a fruit at random and does not replace it. Then Beth picks a fruit at random. What is the probability that Jonas gets a peach and Beth gets an apple? (1 point)

Answer 1

First, let's calculate the total number of fruit in the basket:

Total fruit = 3 apples + 2 oranges + 2 bananas + 2 pears + 5 peaches = 14 fruit

The probability that Jonas picks a peach is 5/14 since there are 5 peaches out of 14 fruit.

After Jonas picks a peach, there are now 4 peaches and 13 fruit total left in the basket.

The probability that Beth picks an apple is 3/13 since there are 3 apples out of the remaining 13 fruit.

Therefore, the probability that Jonas gets a peach and Beth gets an apple is:

(5/14) * (3/13) = 15/182 ≈ 0.0824

So, the probability that Jonas gets a peach and Beth gets an apple is approximately 0.0824.