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