Question

A jar contains four marbles, each a different color: red, blue, green and yellow. If you draw two marbles from the jar, one after another, replacing the first before drawing the second, what is the probability of getting
a. two red marbles
b. a red marble on the first draw and a green marble on the second draw
c. at least one red marble and one green marble.
d. no yellow marbles

Would someone be kind enough to help me sort this out. I am stuck on three problems for my math assignment this week.

Answer 1

First you have to know how many marbles of each color are in the jar.

Answer 2

you got one marble of each colour in the jar,
so the prob of any specific colour is 1/4

a) 1/4 x 14 = 1/16
b)1/4 x 1/4 = 1/16
c) poor wording.
you are only drawing 2 marbles, so it has to be R,G or GR
Since you are replacing it would be
1/4 x 1/4 x 2
= 1/8
d) 3/4 x 3/4 = 9/16

Answer 3

thank you for the help