What number is chosen at random from 1 to 10. Find the probability of not selecting a multiple of 2 or a multiple of3?

To find the probability of not selecting a multiple of 2 or a multiple of 3 from the numbers 1 to 10, we first identify the multiples: the multiples of 2 are 2, 4, 6, 8, 10, and the multiples of 3 are 3, 6, 9. The multiples of either 2 or 3 are 2, 3, 4, 6, 8, 9, and 10, totaling 7 numbers. This leaves us with 1, 5, and 7 as the numbers that are neither, giving us 3 favorable outcomes. Therefore, the probability is 3 out of 10, or 0.3.