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 in simplest form.
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 in simplest form.
Answers
GPT-4o mini
To find the probability of choosing a shirt that is not black, we first determine the total number of shirts and the number of shirts that are not black.
1. **Calculate the total number of shirts:**
\[
\text{Total shirts} = \text{Black shirts} + \text{White shirts} + \text{Gray shirts} = 2 + 7 + 11 = 20
\]
2. **Calculate the number of shirts that are not black:**
\[
\text{Not black shirts} = \text{White shirts} + \text{Gray shirts} = 7 + 11 = 18
\]
3. **Calculate the probability that a randomly chosen shirt is not black:**
\[
P(\text{not black}) = \frac{\text{Number of not black shirts}}{\text{Total number of shirts}} = \frac{18}{20}
\]
4. **Simplify the fraction:**
\[
\frac{18}{20} = \frac{9}{10}
\]
Thus, the probability that the chosen shirt is not a black shirt is \(\frac{9}{10}\).
1. **Calculate the total number of shirts:**
\[
\text{Total shirts} = \text{Black shirts} + \text{White shirts} + \text{Gray shirts} = 2 + 7 + 11 = 20
\]
2. **Calculate the number of shirts that are not black:**
\[
\text{Not black shirts} = \text{White shirts} + \text{Gray shirts} = 7 + 11 = 18
\]
3. **Calculate the probability that a randomly chosen shirt is not black:**
\[
P(\text{not black}) = \frac{\text{Number of not black shirts}}{\text{Total number of shirts}} = \frac{18}{20}
\]
4. **Simplify the fraction:**
\[
\frac{18}{20} = \frac{9}{10}
\]
Thus, the probability that the chosen shirt is not a black shirt is \(\frac{9}{10}\).