Question 8·Medium·Probability and Conditional Probability

During a particular week, a community center assigns each of its 240 volunteers to exactly one of two roles: organizing supplies or greeting visitors. Of the volunteers, 90 organize supplies. Of the volunteers who organize supplies, $\frac{2}{5}$ work an evening shift. Of the volunteers who greet visitors, $\frac{1}{3}$ work an evening shift.

If a volunteer is selected at random from the volunteers who work an evening shift that week, which choice is the probability that the selected volunteer organizes supplies?