How to Calculate the Odds of Winning the Lottery

Visual explanation of how to calculate the odds of winning the lottery using probability and using combination theory.

How to Calculate the Odds of Losing At the Lottery:

How to Calculate Permutations and Combinations:

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Created by David Longstreet, Professor of the Universe, MyBookSucks

[statisticsfun]

Starting at about 2:20 in the video I show the odds of getting all six correct and there is only one combination then that is 1 out of You need to figure how many different ways can you pick 5 numbers out of 6.

I just added a link to a video on permutations and combinations in the video description of this video. You will use combinations picking 5 out of 6 in the video I am use N = 5 and n=3. You need to use N = 6 and n = 5.

Make sense?

Good luck!

[paulawilkins]

Your videos are great. Just the right amount of time in order to provide the audience with a clear understanding and effective results.

[statisticsfun]

Interesting insight. You are correct if the order of the numbers make a difference. The problem does change if order matters. Thanks for sharing your ideas.

[Vera-dghf]

i love your content. very interesting to see the probability of winning is so slim and we just hope and pray that 2-3 tickets will be the winning numbers. its pure luck.

[statisticsfun]

Good to know that my video was just in time and your brain did not explode!

Make sure you like MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

[hfdoukh]

Thank you for your help.Now I understand Probability, Combination, Permutations.We need more people like you.

[opinionacavaz]

The way you teach is astounding... question: how to calculate and list those possible ways in excel?

[pmarilag]

What program do you use for your graphics?  It is so awesome!  I learn better when I see  concepts visually and I just really appreciate the way you teach.

[perfectone]

I thought I was the 'Perfect One' until I met your content!

[statisticsfun]

A factorial is just a symbol used in mathematics. It is the ! or exclamation mark. If I had 4!, then I would multiply 4 x 3 x 2 x 1 or if I had 6! I would multiply 6 x 5 x 4 x 3 x 2 x 1

[danielshamu]

so If I invest on 13 million combinations I can be winning all day every day regardless of what numbers pop

[statisticsfun]

Ah! you are so sweet. Thanks... Make sure you like and give me some love on MyBookSucks on FaceBook (see link in video description). This will help others find the educational videos.

[dwdeclare]

very nice step by step. thank you!

could you now please do a walk through probability of having 5 of those 6 numbers out of 49 correct?
and 4, 3, 2, 1, 0 of the 6 out of 49 correct?
thanks

[dorangreen]

That was very understanding but how did the numbers you choose play a role in the jackpot?

[Lord_Skeptic]

7:40 he says billion when he means million

[holgarjohannesen]

Thanks for this great video. I wonder how I can calculate the chances for having 5 right numbers og 4 right number? Can you help me with that?

[danneeng]

Hi, what if you choose 7 out of 49? Or 12 out of 49? What are the permutation and combinations? What will be the probability? Is it higher or lower in term of chances of winning? Can show me the calculation & answers? I wonder.

[TheHakim]

Aren't you meant to do a permutation because order matters ?

[zxcm]

Sir, is there any possibility to create a lotto generator with a group of six numbers each number input selected or range of numbers to generated possibly combination. Pls reply thank you.

[sylviamanring]

You have to keep in mind not every number will play.
A entire group of numbers are omited from the draw. In that lay out 20s were not played.