Question

in a bag of 10 marbles, there are 4 blue, 3 red, 2 green, and 1 yellow. What is the probability that you draw one marble that is green, replace it, and draw another marble that is red? Enter your answer as a fraction in lowest terms. Do not add spaces to your answer.

Answer 1

The probability of drawing a green marble and replacing it is 2/10 = 1/5.

Since the marble is replaced, the probability of drawing a red marble on the second draw is still 3/10.

The probability of both events occurring is the product of their individual probabilities:

1/5 * 3/10 = 3/50

So the probability of drawing a green marble, replacing it, and drawing a red marble is 3/50.