Question

100%

A package of balloons contains 4 red, 6 blue, 3 yellow, and 5 orange balloons, Javier will randomly choose one balloon from the package to
blow up. He then will randomly choose a second balloon to blow up.
What is the probability that Javier chooses an orange balloon and then a yellow balloon?

Answer 1

To find the probability that Javier chooses an orange balloon and then a yellow balloon, we need to calculate the probability of each event happening and multiply them together. The overall probability is 5/102.

Step-by-step explanation:

To find the probability that Javier chooses an orange balloon and then a yellow balloon, we need to calculate the probability of each event happening and then multiply them together.

First, let's find the probability of choosing an orange balloon.

There are a total of 18 balloons (4 red + 6 blue + 3 yellow + 5 orange), so the probability of choosing an orange balloon on the first try is 5/18.

Next, let's find the probability of choosing a yellow balloon on the second try.

After choosing an orange balloon, there are now only 17 balloons left (since one has been removed).

Of those 17 balloons, 3 are yellow. So the probability of choosing a yellow balloon on the second try is 3/17.

To find the overall probability, we multiply the probabilities of each event happening: (5/18) * (3/17) = 15/306 = 5/102.