A bag contains 3 red, 5 yellow, 2 green and 6 blue marbles. If one marble is chosen at random, replaced, and then a second marble is chosen at random, find the probability of obtaining 2 marbles of different colors.

Answer 1

prob of two reds = 3/16*3/16 = 9/256
prob of two yell = 5/16*5/16 = 25/256
prob of two green= 2/16*2/16 = 4/256
prob of two blue = 6/16*6/16 = 36/256
so chance we WILL get two of something
= 74/256
so chance we WILL NOT get two the same
= 1- 74/256 = 182/256 = 0.711