You have a bag with five different colored marbles in it; red, green, blue, orange, and purple. Each marble has an equal chance of being drawn from the bag and a marble is replaced after each draw. After four draws from the bag what is the probability that you have seen both the red and green marble?
I initially thought it would be 1- (3/5)^4 but that is the answer for Red OR Green. I am kinda stumped on how to set this problem up to solve it via PIE. Could somebody please solve the question or walk me through it. Thanks, much appreciated!