Question

Jason has a bag that contains 8 identican shape boxes. 6 of those are blue and 2 are green. Jason randomly selects a box from the bag. let \[a\] be the event that he selects a box with a prize and \[b\] be the event that the box is green.

Answer 1

The probability of drawing a yellow marble followed by a green marble is 4/63.

Step-by-step explanation:

The probability of drawing a yellow marble followed by a green marble is found by multiplying the probability of each event:

P(Yellow and Green) = P(Yellow) x P(Green)

Since the marbles are drawn without replacement, the probability of drawing a yellow marble on the first draw is 2/9.

After drawing a yellow marble, there are seven marbles left in the bag, including two green marbles. So the probability of drawing a green marble on the second draw is 2/7.

Therefore, P(Yellow and Green) = (2/9) x (2/7) = 4/63.