Question

If I deal you one card from a standard deck of 52 and it is a face card, I will give you a $5.00 bill. There are 12 face cards. There is one catch: You have to pay me something to play this game. How much would that be if the game is to be fair?

Answer 1

Probability of winning = 12/52 = 3/13

Probability of losing = 40/52 = 10/13

Probability of losing = 3 1/3 times the probability of winning.

What would you consider fair?

X * 3 1/3 = 5

Answer 2

P(10 on 1st card and 3 on 2nd)