Question

A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn. Find the probibility that.......​

Answer 1

First find the probability of each color being drawn.

We need to find the total number of marbles first.

4 + 3 + 6 = 13

So everything will be over 13.

Probability of a white marble being drawn -->
`(4)/(13)`

Probability of a blue marble being drawn -->
`(3)/(13)`

Probability of a red marble being drawn -->
`(6)/(13)`

Now to find the probabilities of more than one being drawn, we can multiply.

Part a :

`(6)/(13)*(6)/(13)=(36)/(169)`

Part b :

`(3)/(13)*(3)/(13)=(9)/(169)`

Part c :

`(6)/(13)*(3)/(13)=(18)/(169)`

Part d :

`(7)/(13)*(7)/(13)=(49)/(169)`