Question

savannah is the costume manager for a large theater company. she has 10 different hats, including 2 sailors caps.
what is the probability that a randomly chosen hat from savannahs inventory will be a sailors cap?
write your answer as a fraction or whole number.
p(sailors cap) =

Explanation:

Step1: Determine the formula for probability

The probability formula is \( P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \).

Step2: Identify the number of favorable and total outcomes

The number of favorable outcomes (sailor's caps) is \( 2 \). The total number of outcomes (total hats) is \( 10 \).

Step3: Calculate the probability

Substitute into the formula: \( P(\text{sailor's cap})=\frac{2}{10}=\frac{1}{5} \).

Answer:

\(\frac{1}{5}\)