00:02
For this problem, it's separating a couple of parts.
00:03
So for part a, and wants to know the theoretical probability that the spinner stops in a multiple of three.
00:10
So probability that it's a multiple of three, let's do just two times three.
00:16
So the probability that it's a multiple of three, we just look at the picture.
00:19
And so we're going to count all of the numbers that are multiples of three.
00:23
So we got six, nine, 12, 15, 18, 21, 24, 27, and 30.
00:30
So for multiples of three, that's pretty much everything except for the four.
00:37
So because we have 10 possible options, that's going to be nine of the 10 are multiples of three.
00:48
So that probability will be 90 % of the time you'll get a multiple of three or the probability will be 0 .9.
00:56
That's for a theoretical probability.
00:59
Now part b says we spun it 30 times.
01:03
And it stopped on a multiple of three, 20 times.
01:06
So the experimental probability would just be 20 over the 30 times we spun it, which would be closer to 0 .667, or around two -thirds of the time...