1. Consider two gamblers in Casino. If you win, you win 1 $ and if you lose, you lose 1 $. They both start out with 20 $ in their pocket.

• Mr. A bet 20 $ on 1 fair con toss.
• Mr. B bet 1 $ each on their 20 fair coin tosses. Each winning / losing are independent of each other.

After both finish the game, they walk out from the casino

a) What is the probability that Mr. A will lose all 20$?

b) What is the probability that Mr. B will lose all 20$?

c) Find the expected profit of Mr. A

d) Find the expected profit of Mr. B

e) Find the standard deviation of Mr. A Profit.

f) Find the standard deviation of Mr. B Profit.