Question
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.
Write your answer as a fraction.
One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Write your answer as a fraction.
Ask by Weaver Evans. in the United States
Mar 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability that the chosen shirt is not a black shirt is
Solution
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First, find the total number of shirts in the drawer:
- Black shirts: 2
- White shirts: 7
- Gray shirts: 11
- Total shirts:
-
Next, determine the number of shirts that are not black:
- White shirts: 7
- Gray shirts: 11
- Total non-black shirts:
-
The probability that a randomly chosen shirt is not black is the ratio of non-black shirts to the total number of shirts:
-
Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2:
Thus, the probability that the chosen shirt is not a black shirt is
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution Mind Expander
To find the probability that a randomly chosen shirt is not a black shirt, we first need to determine the total number of shirts. There are 2 black shirts, 7 white shirts, and 11 gray shirts:
Total shirts = 2 (black) + 7 (white) + 11 (gray) = 20 shirts.
Next, we find the number of shirts that are not black. This includes the white and gray shirts:
Non-black shirts = 7 (white) + 11 (gray) = 18 shirts.
Now, we can calculate the probability of choosing a non-black shirt:
Probability(not black) = Number of non-black shirts / Total number of shirts = 18 / 20.
This fraction can be simplified:
18 / 20 = 9 / 10.
Thus, the probability that the chosen shirt is not a black shirt is
