A bowl contains 4 yellow marbles and 3 red marbles. Michael randomly draws 4 marbles from the bowl. He replaces each marble after it is drawn. What is the probability that he draws 3 yellow marbles and 1 red marble.

A. 12/35

B. 3/35

C. 192/2401

D. 768/2401

So each event is indipentent of each other

chance = (desired outcomes) / (total possible outcomes)

3+4=7

7=total outcomes

3red

4yellow

so each time there is a 3/7 chance of drawing a red marble and a 4/7 chance of

red=3/7

yellow=4/7

so 3 yellow marbles and 1 red=4/7 times 4/7 times 4/7 times 3/7 = (4^3 times 3) / (7^4) = 192/2401 which is C

the answer is C 192/2401