To announce the winner of a contest, Maria draws from a bowl of raffle

To find the number of multiples of an integer x in a given interval, we use the formula: (greatest multiple of x - smallest multiple of x)/x + 1

The number of multiples of 2 from 1 to 60, inclusive, is (60 - 2)/2 + 1 = 30.

The number of multiples of 3 from 1 to 60, inclusive, is (60 - 3)/3 + 1 = 20.

We have double-counted the integers that are multiples of both 2 and 3, so we need to subtract out the number of multiples of both 3 and 2 (or the number of multiples of 6).

The number of multiples of 6 from 6 to 60, inclusive, is (60 - 6)/6 + 1 = 10.

Thus, the probability of picking a raffle ticket that is either an even number or a multiple of 3 is (30 + 20 - 10)/60 = 40/60 = 2/3.

Answer: B