A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
20 in drawer
2 black
probability black yes =2/20 = 0.10
so
probability black no = 1.00 - 0.10
The drawer is filled with 2 + 7 + 11 = 20 shirts.
There are 7 + 11 = 18 shirts that are not black.
A shirt is chosen at random. This means that each shirt is equally likely to be chosen.
You would need to divide your number of shirts that are not black by all your shirts
So, here is the probability that the chosen shirt is not black.
not black
The fraction 18/20 can be simplified to 9/10 .
9/10 would be your answer
To find the probability that a randomly chosen shirt from the drawer is not black, we first need to determine the total number of shirts in the drawer.
The drawer contains 2 black shirts, 7 white shirts, and 11 gray shirts. Therefore, the total number of shirts is:
2 (black shirts) + 7 (white shirts) + 11 (gray shirts) = 20 shirts
Next, we need to determine the number of shirts that are not black. Since there are 2 black shirts, the number of shirts that are not black is:
Total number of shirts - Number of black shirts = 20 - 2 = 18 shirts
Finally, we can calculate the probability by dividing the number of shirts that are not black by the total number of shirts:
Probability of not getting a black shirt = Number of shirts that are not black / Total number of shirts = 18 / 20 = 9/10
Therefore, the probability of selecting a shirt that is not black from the drawer is 9/10 or 0.9 (or 90%).