A game is played by rolling a fair die. The player receives P150 if a perfect square number shows up, and pays P60 otherwise.

If X is the random variable for the gain in this game, which of the following conclusions is correct? answer: the game is not fair since the expected value of the gain is 10.

A jar contains 12 pieces of 5 peso coin, 7 pieces of 10 peso coin and 6 pieces of 20 pesos coin. You are going to get 5 pieces of coin from the jar.

(i) What is the probability getting 3 pieces of 5 peso coin?

(ii) What is the probability of getting at most 1 piece of 5 peso coin?

(iii) How many pieces of 5 peso coin do you expect to get?