For her softball uniform, Meredith has a green, white, or striped jersey. She also has white, green, or striped shorts. If Meredith chooses a jersey and shorts randomly, what is the probability that she will go to softball practice in a striped jersey and green shorts?

A. 1
B. [tex]$\frac{1}{9}$[/tex]
C. [tex]$\frac{2}{3}$[/tex]
D. [tex]$\frac{1}{6}$[/tex]



Answer :

Let's solve the problem step-by-step.

1. Total Choices:
- Meredith has 3 choices for her jersey: green, white, or striped.
- She also has 3 choices for her shorts: white, green, or striped.

2. Total Number of Combinations:
- To find the total number of combinations where she can pair any jersey with any shorts, we multiply the number of jersey choices by the number of shorts choices:
[tex]\[ 3 \text{ jerseys} \times 3 \text{ shorts} = 9 \text{ total combinations} \][/tex]

3. Favorable Combinations:
- The favorable combination is specifically wearing a striped jersey and green shorts.
- There is only one such combination (striped jersey and green shorts).

4. Probability Calculation:
- The probability of a specific favorable combination is the number of favorable combinations divided by the total number of combinations.
[tex]\[ \text{Probability} = \frac{\text{Number of Favorable Combinations}}{\text{Total Combinations}} = \frac{1}{9} \][/tex]

5. Conclusion:
- Hence, the probability that Meredith will go to softball practice in a striped jersey and green shorts is [tex]\(\frac{1}{9}\)[/tex].

Therefore, the correct answer is:
[tex]\[ \boxed{\frac{1}{9}} \][/tex]