a bag contain 9 green marbles, 3 red marbles, and 8 blue marbles. one marble is taken from the bag and put back after checking its color. a second marble is then taken out. what is the probability that the first is blue and the second green?

1 answer

The probability of drawing a blue marble on the first draw is 8/20 (since there are 8 blue marbles out of 20 total marbles).

After replacing the first marble, the probability of drawing a green marble on the second draw is 9/20, as there are still 9 green marbles out of 20 total marbles.

Therefore, the probability of drawing a blue marble first and then a green marble is:

(8/20) * (9/20) = 72/400 = 0.18 or 18%.

So, the probability of the first marble being blue and the second marble being green is 18%.