Question

There are five different colors of lollipops in a jar: 4 orange, 3 green, 4 red, 2 yellow, and 2 purple. Roberta draws out one lollipop, replaces it, and then draws out a second lollipop. What is the probability that she got a green lollipop and then a purple lollipop?

The choices are 1/3, 2/75, 1/5, 2/15.

Answer 1

2/75

Explanation:

total lollipops = 4+3+4+2+2 = 15 lollipops

probability of first picking a green lollipop = no of green lollipops/ total no of lollipops

P(green) = 3/15 = 1/5

Probability of then picking a purple lollipop after replacing = no of purple lollipops/ total no of lollipops

P(purple) = 2/15

probability of picking a green and then purple = P(Green) x P(Purple)

= 1/5 x 2/15 = 2/75