Question

Given that a pink balloon is popped first, calculate P(popping a green balloon second). Simplify your answer.

There are 12 pink balloons, 4 green balloons, 3 blue balloons and one red balloon (20 in total)

Answer 1

To calculate P(popping a green balloon second), we need to find the probability of popping a green balloon given that a pink balloon is already popped. The probability is 3/19.

Step-by-step explanation:

To calculate P(popping a green balloon second), we need to find the probability of popping a green balloon given that a pink balloon is already popped.

First, we need to find the total number of balloons remaining after a pink balloon is popped. There are 20 balloons initially, and if we remove the pink balloon, we are left with 19 balloons.

Next, we need to find the number of green balloons remaining. There are 4 green balloons initially, and if we remove the pink balloon, we are left with 3 green balloons.

Finally, we can calculate the probability by dividing the number of green balloons by the total number of remaining balloons:

P(popping a green balloon second) = (Number of green balloons) / (Total number of remaining balloons) = 3 / 19.

Simplifying the answer gives us P(popping a green balloon second) = 3/19.