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

Option C

Step-by-step 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

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

Then the definition of probability tells us that:

In this case

Finally

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

i think the answer would be c