Question

A college student has 3 pairs of red socks, 4 pairs of green socks, and 7 pairs of brown socks in their dresser. They reach in to grab a pair of socks without looking. What is the probability that they grab a pair of socks that is not green or red? Write your answer as a simplified fraction.

Answer 1

1/2

Explanation:

the probability of grabbing a pair of socks that is not green or red is 1/2.

Total number of pairs of socks = (Number of red pairs) + (Number of green pairs) + (Number of brown pairs)

Total number of pairs of socks = (3 pairs of red) + (4 pairs of green) + (7 pairs of brown)

Total number of pairs of socks = 3 + 4 + 7

Total number of pairs of socks = 14 pairs

Number of pairs of socks that are not green or red = Number of brown pairs

Number of pairs of socks that are not green or red = 7 pairs

Probability = (Number of pairs of socks that are not green or red) / (Total number of pairs of socks)

Probability = 7 / 14 ---> Probability = 1/2