A box contains 15 red, 20 blue, and 16 green jelly beans. Jack first chooses a green jelly bean and eats it. Then he chooses a blue jelly bean and eats it. If each of the remaining jelly beans is equally likely to be chosen, what is the probability that Jack chooses a red jelly bean next?
Problem 197
Pick one
Official solution
Before Jack eats any jelly beans, the box contains jelly beans.
After Jack eats 2 jelly beans, there are jelly beans remaining in the box.
One of the jelly beans that Jack ate was green, and the other was blue.
Thus after eating the 2 jelly beans, there are still 15 red jelly beans in the box.
If each of the remaining jelly beans is equally likely to be chosen, the probability that Jack chooses a red jelly bean next is .