There is a spinner with 11 equal areas, numbered 1 through 11. If the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 3?

7/11

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

The probability that an event will happen added to the probability that the event will not happen gives 1. In other words, the outcome of a probability cannot exceed 1.

The probability that an event a will happen or that another independent event  b will happen is the sum of the probability that a will happen to the probability that b will happen.

The possible outcomes are 1,2,3,4,5,6,7,8,9,10,11. The multiples of 2 are 2,4,6,8,10 and those of 3 are 3,6,9.

Hence the

probability that the result is a multiple of 2

= 5/11

probability that the result is a multiple of 3

= 3/11

However 6 is a factor common to both, hence the probability that the result is a multiple of 2 or a multiple of 3

= 5/11 + 3/11 - 1/11

= 7/11