Assignment 7
1. What is the expected sum of numbers that appear when three six-sided dice are rolled?
2. Suppose we roll a fair six-sided die until a 6 comes up or we have rolled it 5 times. What is the expected
number of times we roll the die?
3. Suppose you buy a ticket for $1 to enter a drawing for $5000. There are 3000 participants in the drawing
(including yourself). What is the expected value of your winnings from the drawing?
Fall 2023 Page 1