Abowl contains 4 red marbles and 3 yellow marbles. tim randomly draws 3 red marbles from the bowl. he replaces each marble after it is drawn. what is the probability that he draws 2 yellow and 1 red?

So,

The probability of drawing a yellow marble is .
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same: .

The probability of drawing a red marble is .

In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.



Because the order of the marbles doesn't matter, we will multiply the probability by 3.