Question

You are playing a carnival game where you throw darts at balloons. You throw two darts and pop two balloons. There are 3 red balloons, 2 yellow, 2 green, 4 blue, and 4 purple.

a. What is the probability that both of the balloons are purple?

b. What is the probability that the first balloon is green and the second is yellow?

Answer 1

a) 2/35. 2) 2/105.

Explanation:

a) there are 15 balloons in total. 4 of them are purple.

p(1st purple) = 4/15

p(2nd purple) = (4-1) / (15-1) = 3/14.

p(both purple) = (4/15) X (3/14) = 12/210 = 2/35.

b) (2/15) X (2/14) = 4/210 = 2/105.