Question

Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. the spinner is spun two times. the number of possible outcomes is 16. how many sections is the spinner divided into?

Answer 1

4

Explanation:

4 x 4 = 16

each section has 4 chances when combined

example

1 and 1

1 and 2

1 and 3

1 and 4

2 and 1 etc....

Answer 2

The spinner is divided into 4 sections

Explanation:

Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections.

On spinning the spinner is two times,the number of possible outcomes is 16.

Let number of outcomes on spinning it once be n

Then, number of outcomes on spinning it twice will be n²

(since, if 1,2,3 are outcomes in one spin than outcomes in two spins are:

11 12 13

21 22 23

31 32 33)

n²=16 ⇒ n=4

Hence, spinner is divided into 4 sections