A bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles. Find the probability of drawing a blue marble, replacing it, then drawing a yellow marble

See detailed explanation below.

Step-by-step explanation:

Total marbles in the bag

= 4 red + 6 green + 8 yellow + 2 blue

= 20 marbles.

Probability of event that a blue on first draw, P(B) = 2/20

Marble was then replaced to remain a total of 20 marbles.

Probability of event that a yellow in the second draw, P(Y) = 8/20

The probability of both events happening is the product of the probabilities of the events, hence

P(B then Y) = 2/20 * 8/20 = 16/400 = 1/25

The probability of drawing a blue marble, replacing it, then drawing a yellow marble  is 1/25.