Completing a probability table and finding expected value.

16. The manager of a casino plans the following game. Each player will be given a box containing five coins of which one is “gold” (valued Rs 100), one is “silver” (valued Rs 25) and three are “ordinary” (valued Re 1 each). The player draws two coins at random and without replacement. Let A and B be the values (in rupees) of the two coins so drawn. Define X = |A B|. The player receives a payoff (X + 25) if none of the two selected coins is ordinary; the payoff is zero otherwise. Complete the following table showing your answers.

P(X = 0) =

P(X = 1) =

P(X =20) =

P(X = 24) =

P(X = 75) =

P(X = 99) =

E(X) =

Expected payoff