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)
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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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In question a), I knew how to get the probability of getting "6 of 6", which is 6C6/49C= 1/13, 983, 816
But that is only for ONE lotto ticket. 
How do I find out the probability of getting "6 of 6" with 20 lotto tickets? Do I just multiply 6Cby 20? 

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}
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}
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
Transcribed Image Text: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
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