Final answer:
To find the probability of drawing out a brown or black pair of socks, divide the number of favorable outcomes by the total number of possible outcomes. The probability is approximately 0.6585.
Step-by-step explanation:
To find the probability of drawing out a brown or black pair of socks, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.
There are 23 pairs of brown socks and 4 pairs of black socks, so the total number of favorable outcomes is 23 + 4 = 27 pairs of socks.
The total number of possible outcomes is the sum of the pairs of socks, which is 23 + 4 + 14 = 41 pairs of socks.
Therefore, the probability of drawing out a brown or black pair of socks is 27/41 or approximately 0.6585 (rounded to four decimal places).