33.5k views
4 votes
A drawer contains 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the dark, what is the probability of getting a pair of red socks

User Psaxton
by
4.8k points

1 Answer

4 votes

Answer:

The probability of getting a pair of red socks is 0.322

Explanation:

According to the given data we have that A drawer contains 11 identical red socks and 8 identical black socks, hence, the total number of socks is 19, therefore, in order to calculate the probability of getting a pair of red socks we would have to use the following formula:

probability of getting a pair of red socks=11C2/19C2

probability of getting a pair of red socks=55/171

probability of getting a pair of red socks=0.322

The probability of getting a pair of red socks is 0.322

User Dylan Bettermann
by
5.7k points