Probability of jelly beans

Question

Jason and Sarah are eating jellybeans they chose randomly from a bag. They are trying to guess what color they are going to get each time. There are 5 red, 2 yellow, and 3 green jellybeans left in the bag. Jason's favorite color is red and he says the probability of him picking two red out of the bag in a row without replacing is 25%. Sarah says it is about 22%. Are either of them correct? If so, which one?

Answer 1

Probability of picking the first red is 5/10. Now that you have removed one jellybean there are noise left. The probability of now picking a red is 4/9.

Combined probabilty is 5/10 x 4/9 = 2/9 = 22%