A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 2 or greater than 7 in a single spin?

The numbers less than 2 are 1, and the numbers greater than 7 are 8, 9, 10.

Total numbers that meet the condition = 1 (less than 2) + 3 (greater than 7) = 4

Total possible outcomes = 10

Therefore, the probability of obtaining a number less than 2 or greater than 7 in a single spin = 4/10 = 2/5 = 0.4 or 40%.