Calculating Lottery Odds: A Probability Challenge

This video tutorial explains how to calculate the odds of winning the lottery using two methods: combinations and probability theory. The instructor walks through each method step by step, using an example of picking six numbers from 49 balls. The video concludes with a summary and encouragement to engage with the content.

What percentage of people think the lottery is their best hope?

• 10%

• 20%

• 40%

• 30%

Which method is NOT mentioned for calculating lottery odds?

• Probability theory

• Graph theory

• Combination theory

• None of the above

How many different balls are used in the example lottery?

• 55

• 50

• 49

• 45

What is the value of N in the combination method?

• 43

• 720

• 6

• 49

What is the simplified form of 49 factorial divided by 6 factorial times 43 factorial?

• 49 times 48 times 47 times 46 times 45 times 44

• 49 times 48 times 47 times 46 times 45 times 44 times 43

• 49 times 48 times 47 times 46 times 45

• 49 times 48 times 47 times 46

What is the total number of combinations for picking 6 numbers out of 49?

• 13,983,816

• 10,000,000

• 720

• 49,000,000

In probability theory, what is the probability of picking the first green ball?

• 6 out of 49

• 1 out of 49

• 5 out of 48

• 4 out of 47

Tags

CCSS.7.SP.C.7B

What is the probability of picking the second green ball after the first one?

• 1 out of 49

• 6 out of 49

• 5 out of 48

• 4 out of 47

What is the final probability of picking all 6 green balls using probability theory?

• 1 out of 49

• 1 out of 10,000,000

• 1 out of 13,983,816

• 1 out of 720

Tags

CCSS.HSS.CP.B.9

What should you do if you have questions or comments about the video?

• Ignore them

• Call the instructor

• Post on Facebook, Google+, or Twitter

• Email the instructor