Question

HELP ASAP! A bag contains 3 green, 4 blue, 2 red, 1 black, 5 yellow and 4 brown marbles. Suppose you randomly select a marble, replace it in the bag, and randomly pick a second marble. What is the probability you pick a blue marble and then another blue marble?

Answer 1

To do this count up total number of marbles
3 green + 4 blue + 2 red + 1 black + 5 yellow + 4 brown = 19 in total
There are 4 blue marbles
So chance you pick 1 blue marble the first time is 4/19
Then since you replace the marble and the chance you pick another is 4/19
To get the probability of this happening you simply multiple 4/19 by 4/19
4/19 • 4/19 = 16/361