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

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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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