Question

PLEASE HELP TIMED!

A three-section spinner, is spun twice. The tree diagram shows the possible outcomes for the two spins.

What is the probability of spinning the same number in both spins?

A) 1/9

B) 1/6

C) 1/3

D) 1/2
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Answer 1

I think it would be 1/9

Explanation:

The probability of getting one specific number the first time is 1/3, and the next spin is also 1/3, and you have to multiply them.

Answer 2

Answer: Option C

`P=(1)/(3)`

Explanation:

We have a three section spinner and we want to know what is the probability of spinning the spinner twice and getting the same number.

The tree diagram shows that by spinning the spinner 2 times there are 9 possible results

`S = \{(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2) , (3, 3)\}`

Note that among these 9 possible outcomes there are 3 ways to get the same number

`\{(1, 1), (2, 2), (3, 3)\}`

Then the definition of probability tells us that:

`P = (number\ of\ desired\ outcomes)/(possible\ outcomes)`

In this case

`number\ of\ desired\ outcomes = 3`

`possible\ outcomes =9`

Finally

`P=(3)/(9)`

`P=(1)/(3)`