If a sock is selected randomly, the probability that it will be a red sock or a winter sock is: D. 5/6.
Based on the information provided above, we can logically deduce that there are two (2) pairs each of red summer socks and red winter socks, and one pair each of blue summer socks and blue winter socks.
In this context, the total number of socks can be calculated as follows;
Total number of socks = 4 red summer + 4 red winter + 2 blue summer + 2 blue winter
Assuming a sock is randomly selected, the probability that it will be a red sock or a winter sock can be calculated as follows;
P(red) U P(winter) = (4/12 + 4/12) + (4/12 + 2/12) - 4/12
P(red) U P(winter) = 8/12 + 6/12 - 4/12
P(red) U P(winter) = 10/12
P(red) U P(winter) = 5/6.