Calculating Lotto 6/49 Odds | Formula Explained

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Homework Help Overview

The discussion revolves around calculating the odds of winning the Lotto 6/49, specifically focusing on the selection of 6 different numbers from a set of 49. Participants are exploring the appropriate mathematical approach to determine these odds.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to calculate the odds using different methods, including sequential multiplication of numbers and combinations. Questions arise regarding the validity of their calculations and the distinction between permutations and combinations.

Discussion Status

There is an ongoing exploration of the correct formula to use for calculating the odds. Some participants have provided insights into combinations and permutations, while others express confusion about the large numbers resulting from their calculations. No consensus has been reached yet.

Contextual Notes

Participants are discussing the assumptions related to the nature of the lottery draw and the interpretation of winning odds, as well as the implications of ticket sales in relation to the calculated odds.

whatdofisheat
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i was trying to calculate the odds of winning the lotto 6/49 6 diffrent numbers and the numbers go from 1 - 49 could anyone calculate it and show me the formula i thought it would be 49*48*47...*43 but that does not seem right
thanks
 
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whatdofisheat said:
i was trying to calculate the odds of winning the lotto 6/49 6 diffrent numbers and the numbers go from 1 - 49 could anyone calculate it and show me the formula i thought it would be 49*48*47...*43 but that does not seem right
thanks
The probability of choosing the winning number would be 1 out of the number of ordered 6-character strings you can create from a 49 character set without replacement. The latter number is what you calculated, 49 choices for the first character multiplied by 48 choices for the second character, and so on for 6 factors.
 
yes but sequencially multplying thes numbers together gives me 10068347520 which is alittle hey because people usually win the lotto every week and I am sure not that many tickets are sold
 
49C6

Or using the definition of the combination...

49!/(6!*43!)

It's about 1 in 14,000,000, the number you've been hearing in the news for the past week.
 
It does not matter in what order you receive your six numbers, so it is a combination, which is the permutation divided by 6!
 

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