Question

greg has 5 dress shirts for work: 3 white, and 2 dark blue. he has 4 pair of slacks for work: 2 black, and 2 brown.
greg wakes up before sunrise to get dressed for work, but the power is out. so, he randomly chooses a dress shirt and a pair of slacks in the dark.
what is the probability that he will choose a white shirt, and black slacks?
probability

Explanation:

Step1: Find probability of white shirt

Total shirts: 5, white shirts: 3. Probability: $\frac{3}{5}$.

Step2: Find probability of black slacks

Total slacks: 4, black slacks: 2. Probability: $\frac{2}{4}=\frac{1}{2}$.

Step3: Multiply the probabilities

Since the choices are independent, multiply the two probabilities: $\frac{3}{5} \times \frac{1}{2} = \frac{3}{10}$.

Answer:

$\frac{3}{10}$