7 black shirts, 5 white shirts, 10 gray shirts.One shirt is chosen at random.Find the probability that it is not a gray shirt. answer as a fraction in simplest

Question

im  stuck on this Question i missed  the lessons on probability at school the past week i have to do 4 math papers AGHHH im so stuck will anyone help me please?

Answer 1

First we need to add up all the different shirts together:

7 + 5 + 10 = 22

And now out of the 22 in total there are 10 gray shirts. However, we DON'T want a gray shirt, so we subtract that from the total, giving us 12 out of the 22 that are NOT gray:

12/22 chance of getting a shirt that's not gray.

 

Now to simplify, we factor out common numbers. In this case, 2:

12 / 2 = 6

22 / 2 = 11

So the probability of choosing a non-gray shirt is 6/11, or six out of eleven.