Question

for her softball uniform, meredith has a green or white 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 green jersey and green shorts?

Explanation:

Step1: Determine the number of jersey options

Meredith has 2 jersey options (green or white).

Step2: Determine the number of short options

Meredith has 3 short options (white, green, or striped).

Step3: Calculate the total number of combinations

Using the counting principle, the total number of combinations is \(2\times3 = 6\) (since for each jersey choice, there are 3 short choices).

Step4: Identify the favorable combination

The favorable combination (green jersey and green shorts) is 1.

Step5: Calculate the probability

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{1}{6}\)

Answer:

\(\frac{1}{6}\)