Question

) A bag contains 10 green marbles, 4 blue marbles, 5 red marbles, and 6 yellow marbles. Kate randomly chooses two marbles from the bag and gives them to her sister. What is the probability she chooses a green marble, does not replace it, and then a marble that is NOT yellow?

Answer 1

Kate starts with 25 marbles. Of these 25 marbles, 10 are green. So the probability of choosing a green marble is 10/25 = 2/5. Since Kate does not replace the green marble, there are 24 marbles left. Of these 24 marbles, 6 are yellow, meaning 18 are not yellow. So the probability of selecting a marble that is not yellow is 18/24 = 3/4. From these probabilities:

P(green, then not yellow) = (2/5)(3/4) = 3/10