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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

565554535251543215156555453525432145377203116wx008aerex008bndx008bcatesafactorx008balx008bennn1n221B Calculate how many combinations 4614645145461 Top Prize LevelMatch all five numbers plus the Mega B ID: 868531

x008b numbers ͺ1

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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 ofsecond set of 46 numbered gold balls. The odds of winning Mega Millions are calculated for all prize levels. Tsixth, eighth and ninth prize level odds are determined by the chances of choosing a given the chances of choosing a given number of chosen is irrelevant, the applicable probabiliprize levels, calculate the total number of A. Calculate how many combinations 56െ5 56∗55∗54∗53∗5

2 2∗51!5∗4∗3∗2∗1∗51! 56∗55âˆ
2∗51!5∗4∗3∗2∗1∗51! 56∗55∗54∗53∗525∗4∗3∗2∗1 45ͺ,377,Í»20 ൌ3,ͺ1Í»,ͺ16wŠere !‹nd‹cates a factor‹al,‹.e.,n! ൌ n ∗ ሺnെ1ሻ ∗ ሺnെ2ሻ ∗ ...∗ 2 ∗ 1B. Calculate how many combinations 46െ1 46∗45!1∗45! ൌ46 1. Top Prize Level Match all five numbers plus the Mega Ball ሺ56െ5ሻ!56െ5 51െ0! 0! 51!1 ȋnote: 0!=1Ȍ t portion of Mega Millions. : Calculate how many ways the correct from 46 unique numbers. The chance of corr

3 ectly choosing the is simply 1 in 46. :
ectly choosing the is simply 1 in 46. : Determine the chance of choosing both3,ͺ1Í»,ͺ16 175,711,536 or 1 cŠance ‹n 175,711,536.Second Prize Level Match all five numbers only unique numbers is 1 in 3,3,ͺ1Í»,ͺ16 175,711,536 3,Í»04,700.ͺ0 or 1 cŠance ‹n 3,Í»04,700.ͺ0. 3. Match four numbers plus the Mega Ballfrom 56 unique numbers. ሺ56െ5ሻ!56െ5 5∗4!4! 1! 51െ1! 1! 51∗50!50!1 ൌ5∗51ൌ255the first portion of Mega Millions. correct by multiplying 3,ͺ1Í»,ͺ16 17

4 5,711,536 6ͺͻ,064.ͺ5 or 1 cŠa
5,711,536 6ͺͻ,064.ͺ5 or 1 cŠance ‹n 6ͺͻ,064.ͺ5. Match four numbers only 3,ͺ1Í»,ͺ16 175,711,536 15,312.55 or 1 cŠance ‹n 15,312.55. 5. Match three numbers plus the Mega Ball ሺ56െ5ሻ!56െ5 5∗4∗3!3! 2! 51െ2! 2! 5∗4 51∗50∗4Í»!4Í»!2∗1 ൌ5∗51∗50ൌ12,750e 12,750 different ways in which 3 numbers out of 5 in the first portion of Mega Millions. correct by multiplyi3,ͺ1Í»,ͺ16 175,711,536 13,7ͺ1.30 or 1 cŠance ‹n 13,7ͺ1.30. Match two nu

5 mbers plus the Mega Ball(1 in 843.75 odd
mbers plus the Mega Ball(1 in 843.75 odds) ሺ56െ5ሻ!56െ5 5∗4∗3!2! 3! 51െ3! 3! 5∗4 51∗50∗4ͻ∗4ͺ!4ͺ!3∗2∗1 5∗51∗50∗4Í» ൌ20ͺ,250portion of Mega Millions. correct by multiplyi20ͺ,2503,ͺ1Í»,ͺ16 175,711,536 ͺ43.75 or 1 cŠance ‹n ͺ43.75.Seventh Prize Level Match three numbers only (1 in 306.25 odds) 3,ͺ1Í»,ͺ16 175,711,536 306.25 or 1 cŠance ‹n 306.25. Match one number plus the Mega Ball(1 in 140.63 odds)from 56 unique numbers. ሺ56െ5ሻ!56à

6 µ†5 5∗4!1! 4! 51െ4! 4! 51∗50∗4Í»
µ†5 5∗4!1! 4! 51െ4! 4! 51∗50∗4ͻ∗4ͺ∗47!47!4∗3∗2∗1 5∗51∗50∗4ͻ∗4ͺ ൌ1,24Í»,500 correct by multiplyi1,24Í»,5003,ͺ1Í»,ͺ16 1,24Í»,500175,711,536 140.63 or 1 cŠance ‹n 140.63. 9. Ninth Prize Level Match the Mega Ball ሺ56െ5ሻ!56െ5 1∗5! 51െ5! 5! 51∗50∗4ͻ∗4ͺ∗47∗46!46!5∗4∗3∗2∗1 51∗50∗4ͻ∗4ͺ∗47 ൌ2,34Í»,060ሺܰ݋ݐ݁: 0!ൌ1ሻ correct by multiplyi2,34Í»,0603,ͺ1Í»,ͺ16 2,34Í»,060175,711,536 74.ͺ0 or 1 cŠance ‹n 74.