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As you can see, there are seven prize categories: 1. 6 of 6 {you selected all 6 numbers correctly} 2. 5 of 6 + bonus {you selected 5 of 6 numbers correctly and the bonus} 3. 5 of 6 {you selected 5 of 6 numbers correctly} 4. 4 of 6 {you selected 4 of 6 numbers correctly} 5. 3 of 6 {you selected 3 of 6 numbers correctly} 6. 2 of 6 + bonus {you selected 2 of 6 numbers correctly and the bonus} 7. 2 of 6 {you selected 2 of 6 numbers correctly} a) Is this lottery an example of a permutation or a combination? Explain. b) If you purchased one Lotto 6/49 ticket what is the probability that you would win the main prize “6 of 6"? Leave your answer as a fraction. c) If you purchased twenty Lotto 6/49 tickets what is the probability that you would win the main prize “6 of 6"? Leave your answer as a fraction

As you can see, there are seven prize categories: 1. 6 of 6 {you selected all 6 numbers correctly} 2. 5 of 6 + bonus {you selected 5 of 6 numbers correctly and the bonus} 3. 5 of 6 {you selected 5 of 6 numbers correctly} 4. 4 of 6 {you selected 4 of 6 numbers correctly} 5. 3 of 6 {you selected 3 of 6 numbers correctly} 6. 2 of 6 + bonus {you selected 2 of 6 numbers correctly and the bonus} 7. 2 of 6 {you selected 2 of 6 numbers correctly} a) Is this lottery an example of a permutation or a combination? Explain. b) If you purchased one Lotto 6/49 ticket what is the probability that you would win the main prize “6 of 6"? Leave your answer as a fraction. c) If you purchased twenty Lotto 6/49 tickets what is the probability that you would win the main prize “6 of 6"? Leave your answer as a fraction

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5. Lotto 6/49 is a Canadian lottery game where you select a certain combination of 6 numbers from 1-49 to potentially win a cash prize. No repetitions. Additionally, you must select a bonus number. There are certain cash prizes you can win that depend on how many correct numbers you select on your ticket. Here is an example of the prize breakdown of the main draw from Saturday, January 16, 2021: LOTTO 6/49 Prize Breakdown Saturday, January 16, 2021 Jackpot: $5,000,000.00 MAIN DRAW Bonus 9 10 21 28 35 43 34 Prize Category Winners Prize 6 of 6 CARRIED OVER 5 of 6 + Bonus NOT WON 5 of 6 80 $2,157.50 4 of 6 4,105 $79.90 3 of 6 77,169 $10.00 2 of 6 + Bonus 48,353 $5.00 2 of 6 530,406 FREE PLAY GUARANTEED PRIZE DRAW Prize Breakdown Exact Match Only Winning Number Winners Prize 48396220-01 1- Ontario $1,000,000.00 EXTRA Prize Breakdown Saturday, January 16, 2021
Transcribed Image Text:5. Lotto 6/49 is a Canadian lottery game where you select a certain combination of 6 numbers from 1-49 to potentially win a cash prize. No repetitions. Additionally, you must select a bonus number. There are certain cash prizes you can win that depend on how many correct numbers you select on your ticket. Here is an example of the prize breakdown of the main draw from Saturday, January 16, 2021: LOTTO 6/49 Prize Breakdown Saturday, January 16, 2021 Jackpot: $5,000,000.00 MAIN DRAW Bonus 9 10 21 28 35 43 34 Prize Category Winners Prize 6 of 6 CARRIED OVER 5 of 6 + Bonus NOT WON 5 of 6 80 $2,157.50 4 of 6 4,105 $79.90 3 of 6 77,169 $10.00 2 of 6 + Bonus 48,353 $5.00 2 of 6 530,406 FREE PLAY GUARANTEED PRIZE DRAW Prize Breakdown Exact Match Only Winning Number Winners Prize 48396220-01 1- Ontario $1,000,000.00 EXTRA Prize Breakdown Saturday, January 16, 2021
As you can see, there are seven prize categories: 1. 6 of 6 {you selected all 6 numbers correctly} 2. 5 of 6 + bonus {you selected 5 of 6 numbers correctly and the bonus} 3. 5 of 6 {you selected 5 of 6 numbers correctly} 4. 4 of 6 {you selected 4 of 6 numbers correctly} 5. 3 of 6 {you selected 3 of 6 numbers correctly} 6. 2 of 6 + bonus {you selected 2 of 6 numbers correctly and the bonus} 7. 2 of 6 {you selected 2 of 6 numbers correctly} a) Is this lottery an example of a permutation or a combination? Explain. b) If you purchased one Lotto 6/49 ticket what is the probability that you would win the main prize "6 of 6"? Leave your answer as a fraction. c) If you purchased twenty Lotto 6/49 tickets what is the probability that you would win the main prize “6 of 6"? Leave your answer as a fraction d) If you purchased one Lotto 6/49 ticket what is the probability that you would win the prize "5 of 6"? Hint: To match 5 winning numbers you must select 5 of 6 winning numbers AND you must select 1 of the other 43 non- winning numbers.
Transcribed Image Text:As you can see, there are seven prize categories: 1. 6 of 6 {you selected all 6 numbers correctly} 2. 5 of 6 + bonus {you selected 5 of 6 numbers correctly and the bonus} 3. 5 of 6 {you selected 5 of 6 numbers correctly} 4. 4 of 6 {you selected 4 of 6 numbers correctly} 5. 3 of 6 {you selected 3 of 6 numbers correctly} 6. 2 of 6 + bonus {you selected 2 of 6 numbers correctly and the bonus} 7. 2 of 6 {you selected 2 of 6 numbers correctly} a) Is this lottery an example of a permutation or a combination? Explain. b) If you purchased one Lotto 6/49 ticket what is the probability that you would win the main prize "6 of 6"? Leave your answer as a fraction. c) If you purchased twenty Lotto 6/49 tickets what is the probability that you would win the main prize “6 of 6"? Leave your answer as a fraction d) If you purchased one Lotto 6/49 ticket what is the probability that you would win the prize "5 of 6"? Hint: To match 5 winning numbers you must select 5 of 6 winning numbers AND you must select 1 of the other 43 non- winning numbers.
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