Question

topic: probability
progress
question id: 130411
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
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?
○ $\frac{1}{5}$
○ 1
○ $\frac{1}{6}$
○ $\frac{5}{6}$

Explanation:

Step1: Calculate number of jersey options

There are 2 jersey options (green or white), so the probability of choosing a green jersey is $\frac{1}{2}$.

Step2: Calculate number of shorts options

There are 3 shorts options (white, green, striped), so the probability of choosing green shorts is $\frac{1}{3}$.

Step3: Use multiplication rule for independent events

Since choosing a jersey and shorts are independent events, the probability of both events occurring is the product of their individual probabilities. So $P=\frac{1}{2}\times\frac{1}{3}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$