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How to Calculate the Probabilities of Winning the Nine Mega Millions P How to Calculate the Probabilities of Winning the Nine Mega Millions P

How to Calculate the Probabilities of Winning the Nine Mega Millions P - PDF document

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How to Calculate the Probabilities of Winning the Nine Mega Millions P - PPT Presentation

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1 How to Calculate the Probabilities of Wi
How to Calculate the Probabilities of Winning the Nine Mega Millions Prize Levels: numbers are drawn from two sets offor all prize levels. Tgiven number of white balls correctly as well as the gold chosen is irrelevant, the applicable probabiliprize levels, calculate the total number of A. Calculate how many combinations 70െ5 70∗6ͻ∗6ͺ∗67∗66∗65!5∗4∗3∗2∗1∗65! 70∗6ͻ∗6ͺ∗67∗665∗4∗3∗2∗1 1,452,361,6ͺ0 ൌ12,103,014wŠere !‹nd‹cates a factor‹al,‹.e.,n! ൌ n ∗ ሺnെ1ሻ ∗ ሺnെ2ሻ ∗ ...∗ 2 â

2 ˆ— 1B. Calculate how many combinations o
ˆ— 1B. Calculate how many combinations of 1 number can be drawn from 25 unique 25െ1 25∗24!1∗24! ൌ25 Match all five numbers plus the Mega Ball Step 1: Calculate the number of ways in which 5 numbers can be chosen correctly out of 5 numbers drawn from 70 unique numbers. The formula is as follows: ሺ70െ5ሻ!70െ5 65െ0! 0! 65!1 ȋnote: 0!=1Ȍ portion of Mega Millions. : Calculate how many ways the correct from 25 unique numbers. The chance of correctly choosing the 12,103,014 302,575,350 or 1 cŠance ‹n 302,575,350.Second Prize Level: Match a

3 ll five numbers only unique numbers is
ll five numbers only unique numbers is 1 in 12,12,103,104 302,575,350 12,607,306.25 or 1 cŠance ‹n 12,607,306.25. Match four numbers plus the Mega Ball Step 1: Calculate the number of ways in which 4 numbers can be chosen correctly out of 5 numbers drawn from 70 unique numbers. The formula is as follows: ሺ70െ5ሻ!70െ5 5∗4!4! 1! 65െ1! 1! 65∗64!64!1 ൌ5∗65ൌ325in the first portion of Mega Millions. correct by multiplying 12,103,014 302,575,350 Í»31,001.0ͺ or 1 cŠance ‹n Í»31,001.0ͺ.Match four numbers only 12,103,014 302,

4 575,350 3ͺ,7Í»1.71 or 1 cŠance
575,350 3ͺ,7Í»1.71 or 1 cŠance ‹n 3ͺ,7Í»1.71. Match three numbers plus the Mega Ball Step 1: Calculate the number of ways in which 3 numbers can be chosen correctly out of 5 numbers drawn from 70 unique numbers. The formula is as follows: 70െ570െ5 5∗4∗3!3! 2! 65െ2! 2! 5∗4 65∗64∗63!63!2∗1 ൌ5∗65∗64ൌ20,ͺ00e 20,800 different ways in which 3 numbers out of 5 correct by multiplyi20,ͺ0012,103,014 20,ͺ00302,575,350 14,546.ͺͻ or 1 cŠance ‹n 14,546.ͺͻ.Match three numbers only 20,ͺ0012,103,014 302,575,350 or 1 c

5 Šance ‹n 606.12. Seventh P
Šance ‹n 606.12. Seventh Prize LevelMatch two numbers plus the Mega Ball Step 1: Calculate the number of ways in which 2 numbers can be chosen correctly out of 5 numbers drawn from 70 unique numbers. The formula is as follows: 70െ570െ5 5∗4∗3!2! 3! 65െ3! 3! 5∗4 65∗64∗63∗62!62!3∗2∗1 5∗65∗64∗63 ൌ436,ͺ00portion of Mega Millions. correct by multiplyi436,ͺ0012,103,014 302,575,350 or 1 cŠance ‹n 6Í»2.71.Match one number plus the Mega Ball Step 1: Calculate the number of ways in which 1 number can be chosen correctly

6 from 70 unique numbers. The formula is
from 70 unique numbers. The formula is as follows: 70െ570െ5 5∗4!1! 4! 65െ4! 4! 65∗64∗63∗62∗61!61!4∗3∗2∗1 5∗65∗64∗63∗62 ൌ3,3ͺ5,200 correct by multiplyi3,3ͺ5,20012,103,014 3,3ͺ5,200302,575,350 or 1 cŠance ‹n ͺͻ.3ͺ. Match the Mega Ball 5െ0 70െ570െ55െ05െ0 1∗5! 65!65െ5! 5! 65∗64∗63∗62∗61∗60!60!5∗4∗3∗2∗1 65∗64∗63∗62∗61 ൌͺ,25Í»,ͺͺͺሺܰ݋ݐ݁: 0!ൌ1ሻ is simply 1 in 25. correct by multiplyiͺ,25Í»,ͺͺͺ12,103,014 ͺ,25Í»,ͺͺͺ302,575,350 or 1 cŠance ‹n 36.63