Math 1320 Name
D.Wilson
Section 7.4: Probability and Counting Techniques
1. In order to play the Mega Millions Lottery, we need to choose a ticket with five numbers
from the set {1,2, , 56}, and one number from the set {1,2, , 46}. The order of the first five
numbers does not matter.
(a) How many different tickets can we buy?
(b) How many tickets match all six winning numbers?
(c) We will win the Jackpot if we match the six winning numbers. Suppose we buy one
ticket. What is the probability that we will win the Jackpot?
(d) We will win $10,000 if we match four of the five winning numbers from {1,2, , 56}, and
the one winning number from {1,2, , 46}. How many different tickets will win $10,000?
(e) What is the probability that we will win $10,000 with one ticket?
