Question

1. a school requires students to wear uniforms. they can choose from the following options. if a student randomly selects one item from each clothing category, then what is the probability they will be wearing all navy?

cardigan
gray
navy
polo
white
navy
maroon
black
bottom
khaki
navy

Explanation:

Step1: Find total uniform combinations

Multiply the number of options in each category: $2 \times 4 \times 2 = 16$

Step2: Find all-navy combinations

Count valid all-navy selections: $1 \times 1 \times 1 = 1$

Step3: Calculate probability

Divide favorable by total outcomes: $\text{Probability} = \frac{\text{All-navy combinations}}{\text{Total combinations}}$
$\text{Probability} = \frac{1}{16}$

Answer:

$\frac{1}{16}$