You are at the movies ith your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?

Answer 1

First, we need to find the total number of gummy bears in the bag:
Total gummy bears = 4 (red) + 5 (green) + 3 (yellow) = 12 bears

The probability of selecting a yellow gummy bear first is:
P(yellow) = Number of yellow bears / Total number of bears = 3/12 = 1/4

After selecting a yellow gummy bear, there will be 2 yellow bears left in a total of 11 bears.

The probability of selecting a red gummy bear second is:
P(red after yellow) = Number of red bears / Total number of bears after selecting yellow = 4/11

To find the probability of both events happening (yellow gummy bears and then red gummy bears), we multiply the probabilities:
P(yellow and red) = P(yellow) * P(red after yellow)
P(yellow and red) = (1/4) * (4/11) = 1/11

So, the probability of selecting yellow gummy bears first and then red gummy bears is 1/11.