00:01
We are looking at a spinner.
00:03
Each spin costs two.
00:05
And if you land on b, you win nine.
00:08
If you land on a, you win a penny.
00:11
Otherwise, you win nothing.
00:13
Okay.
00:14
So we want to calculate the expected winnings.
00:17
So the expected value of a probability distribution, let's calculate it.
00:24
You take each possible value, multiply it by its probability, and you sum them.
00:30
It's a lot like finding the mean of a frequency table, except we don't have to divide by n, because the probabilities are going to sum to one anyway.
00:40
So let's make a probability distribution based on this spinner.
00:48
So you could win nothing, and since you had to pay two to play the game, that's minus two.
00:55
You could win a penny.
00:57
Again, you had to pay two, so that's minus 1 .99...