In: Statistics and Probability
In order to decide upon who is going to pay for a shared lunch, two individuals named A and B engage in the following game: they have a regular deck of 52 cards. A first picks one card and B picks one card. If one card has a higher value than the other, the individual who picked the lowest value pays. The values are ranked A,2,3,4,5,6,7,8,9,10,Kn,Q,K... If the values are equal, they split the bill equally... Is this procedure fair? Define what you mean with fair and motivate your answer to the question with an appropriate calculation. hint: Calculate the probability that they split the bill. Then calculate the probability that A will pay the bill and also the probability that B will pay the bill.