00:01
Boris has a bag with eight walls.
00:03
Okay, and he's going to choose one bag from the bag at random.
00:08
Okay, i'm going to make a probability distribution for this game he's playing.
00:13
And this is going to be for the amount he wins.
00:17
So he could win one, he could win two, he could win five, he could win six, eight or ten, need to make a bit of space because he could also lose 14, so minus 14.
00:31
What are the probabilities of these different things happening? well, there are eight balls each equally likely.
00:37
He wins one if he gets one, so that's a one in eight chance.
00:41
One in eight, number three, so one in eight, one in eight, and so on.
00:48
And then finally, two numbers get the loss, so that's two out of eight.
00:52
Of course, these probabilities add up to one, because this is a probability distribution.
00:58
In part a, we want the expected value of playing this game.
01:01
Let's get the expected value of a variable.
01:04
Take each outcome, multiply it by its probability, add these up...