Q2 The Powerball Lottery 15 Points The Powerball lottery is based on a random drawing of six balls from two machines. One machine contains 69 white balls (labeled 1 through 69) and the other machine contains 26 red balls (labeled 1 through 26). To determine the winning numbers, the gamemaster draws five white balls from the first machine and one red ball (the "Powerball") from the second machine (assume all outcomes are equally likely). A player in the Powerball lottery picks five different numbers between 1 and 69 (inclusive) and a sixth number between 1 and 26 (inclusive), which may duplicate one of the first five numbers. For each of the following questions, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4, 2)/24) instead of 0.375. Q2.2 What is the probability that a player wins $100 by matching exactly four of the first five numbers (in any order), but not the sixth number?

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Q2 The Powerball Lottery
15 Points
The Powerball lottery is based on a random drawing of six balls from two machines. One machine
contains 69 white balls (labeled 1 through 69) and the other machine contains 26 red balls (labeled
1 through 26). To determine the winning numbers, the gamemaster draws five white balls from the
first machine and one red ball (the "Powerball") from the second machine (assume all outcomes
are equally likely).
A player in the Powerball lottery picks five different numbers between 1 and 69 (inclusive) and a
sixth number between 1 and 26 (inclusive), which may duplicate one of the first five numbers.
For each of the following questions, you should write your answer as an expression. Do not give the
final numeric value. For example, you should write C(4, 2)/24) instead of 0.375.
Transcribed Image Text:Q2 The Powerball Lottery 15 Points The Powerball lottery is based on a random drawing of six balls from two machines. One machine contains 69 white balls (labeled 1 through 69) and the other machine contains 26 red balls (labeled 1 through 26). To determine the winning numbers, the gamemaster draws five white balls from the first machine and one red ball (the "Powerball") from the second machine (assume all outcomes are equally likely). A player in the Powerball lottery picks five different numbers between 1 and 69 (inclusive) and a sixth number between 1 and 26 (inclusive), which may duplicate one of the first five numbers. For each of the following questions, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4, 2)/24) instead of 0.375.
Q2.2 What is the probability that a player wins $100 by matching exactly four of the first five
numbers (in any order), but not the sixth number?
Transcribed Image Text:Q2.2 What is the probability that a player wins $100 by matching exactly four of the first five numbers (in any order), but not the sixth number?
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