The spinner shown on the right is spun. (assume that the size of each sector is the same.) find each probability.
a) p(factor of
42
b) p(multiple of
6

The spinner is not shown, so I will explain you the procedure with a spinner that is used in a problem with same statement, but different questions.

This explanation will suffice you even if the spinner is different, because you will know how to solve the problem.

The characteristics of the spinner are:

- circular board
- 8 congruent segments
- the segments are numbered 1, 2, 3, 4, 5, 6, 7, and 8

As conclusion, each segment (number)  has the same change to be the outcome.

a) P (factor of 42). This is to find the probability that the outcome is a number that is factor of 42.

Then analyze the possible outcomes:

1: yes (1*42 = 42)  

2:  yes (2*21 = 42)

3: yes (3*14 = 42)

4: no

5: no

6: yes (6*7 = 42)

7: yes (7*6 = 42)

8 no.

Then five of the possibilities out of 8 are factor of 42, and P (factor of 42) = 5/8

5/8

b) P (multiple of 6)

The only multiple of 6 in the numbers 1 through 8 is 6.

Then the P (multiple of 6) is 1/8

1/8