easy Probability

Bowl of Cherries IV

A release-checked easy problem for training Events, Conditional Probability.

Question

There are four red cherries and five purple cherries in bowl $A$. There are six red cherries and three purple cherries in bowl $B$. Jenny randomly transfers a cherry from bowl $A$ into bowl $B$. Then, she randomly picks a cherry from bowl $B$ to eat. What is the probability that she eats a red cherry?

Practice focus

This Probability problem is tagged Events, Conditional Probability. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.