Question

If the spinner labeled 1-12 what is P(multiple of 3 and even)?5/6 1/610/122/12

Answer 1

Option B is correct.

The probability of getting a multiple of 3 and an even number in one spin of the spinner labelled 1 - 12 is (1/6).

Step-by-step explanation

The probability of an event is given as the number of elements in the event divided by the number of elements in the sample space.

`\text{Probability of an event = }\frac{Number\text{ of elements in the event}}{Number\text{ of elements in the sample space}}`

For this question,

Number of elements in the event refers to the numbers out of 1 to 12, that are multiples of 3 and even. The numbers that are multiples of 3 and even are 6 and 12.

Number of elements in the event = 2

Number of elements in the sample space refers to all the possible outcomes.

Number of elements in the sample space = 12

Probability of an event = (2/12) = (1/6)

Hope this Helps!!!