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?
There are a total of 14 fruits in the basket. The probability of Jonas picking a peach is 5/14. After Jonas picks a fruit, there are now 13 fruits left in the basket. If Jonas picked a peach, there are only 2 apples left in the basket out of the remaining 13 fruits. So the probability of Beth picking an apple is 2/13.
Therefore, the probability of Jonas getting a peach and Beth getting an apple is:
(5/14) x (2/13) = 10/182 = 5/91
So the probability is 5/91.