Q4) At a county fair, a ring toss game may be played for 25 cent. You are given three rings and then attempt to toss them individually onto a peg. If you successfully get one ring on a peg, you win a prize worth 50 cents. If you get two on, you get a prize worth 1 dollar and if you get all three on, you win a prize worth 5 dollars. Assuming the probability that you ring the peg is 0.1 each try, a) Find the probability mass function of your gain if you play this game one time. b) What is your expected gain if you play this game one time? c) What is your expected gain if you play this game ten times?

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