Question

a sock drawer contains 5 different colors of socks. it has 20 white, 10 black, 10 gray, 6 red, and 4 purple. if you reach into the drawer and choose a sock randomly, what is the probability you will get a black sock? (write your final answer as a fraction.)

p(black) = \frac{number of favorable outcomes}{total number of outcomes}

p(black) = \square

Explanation:

Step1: Calculate total number of socks

Total number of socks = \(20 + 10+10 + 6+4=50\)

Step2: Calculate probability of getting a black sock

Number of black socks \(= 10\). Using the formula \(P(\text{black})=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\), we have \(P(\text{black})=\frac{10}{50}\)

Step3: Simplify the fraction

\(\frac{10\div10}{50\div10}=\frac{1}{5}\)

Answer:

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