Suppose a box has eight differently colored tennis balls in it. The colors are green, blue, red, purple, orange, black, and white.

Question

if I will randomly pick out three balls (without replacement), then what is the probability that the balls chosen will be green, yellow, and red (in that order)? Show work. Write your answers as a fraction and adecimal rounded with four nonzero digits

Answer 1

For the first pick, we need a green out of 8 balls. For the second pick, we need a yellow out of 7 balls. For the last pick, we need a red out of 6 balls.

By the multiplication rule, the probability is
P(G,Y,R)=(1/8)(1/7)(1/6)

I'll leave it to you to do the arithmetic.