Show transcribed image text You are a group of n friends. Each of you thinks of an integer number from 0 to 9 (assume equal probabilities for all these numbers). Let X be the total sum. Assuming that each of you makes an independent choice what is the probability that the sum is 9? (Hint: let X be number the i-th person has thought: X Xi+ +Xn and think of n flavors of ice-cream)

You are a group of n friends. Each of you thinks of an integer number from 0 to 9 (assume equal probabilities for all these numbers). Let X be the total sum. Assuming that each of you makes an independent choice what is the probability that the sum is 9? (Hint: let X be number the i-th person has thought: X Xi+ +Xn and think of n flavors of ice-cream)