00:01
So in this question, we have two different parts.
00:02
Let's start with question one.
00:07
So the expected value of the payout from a game like this can be calculated as to some of the probabilities of rolling each number multiplied by the value of that number.
00:18
So in this case, we have e, which is the complete payout.
00:23
So we have 1 over 6 times 1 plus 1 over 6 times 2.
00:34
Times 2 plus 1 over 6 times 3 plus 1 over 6 times 4 all the way to 1 over 6 times 6 which would give us 1.
00:52
So we have if you put this into a calculator or just solve it by hand we have 3 .5 divided by 6 or 0 .58.
01:07
So this means that on average, for every $0 .58 paid to play the game, the player can win $1.
01:16
So, to answer the question, how much would you be willing to pay to play this game? probably around 0 .5 to 0 .75, definitely less than $1...