Question

jack was getting dressed in the dark and needed to get his socks. there were 18 pairs of socks in the drawer: 8 black pairs, 5 brown pairs, 3 blue pairs, and 2 white pairs. if he randomly picks 1 pair of socks from the drawer, what is the probability that he will pick a pair of blue socks? 1/6 5/18 4/9 5/6

Explanation:

Step1: Identify total number of pairs

The total number of pairs of socks is the sum of all types of socks. So, $8 + 5+3 + 2=18$ pairs.

Step2: Identify number of blue - sock pairs

There are 3 pairs of blue socks.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (picking a blue - sock pair) is 3, and the total number of outcomes (picking any pair) is 18. So, $P = \frac{3}{18}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$