Home





Lottery Machines: Study Probability | Instructions: | Suggested Lessons or Activities: | Special Features: | Other Related Modules and Useful Links:

Lottery Machines: Study Probability


© R. Mirshahi

Instructions:

  • There are 9 different Lottery Machines in this program to choose from. They all generate numbers of different lengths at random. The easiest Lottery Machine makes random numbers using only 1and 2. The hardest machine to win (lowest odds to win the jackpot) uses all digits from 0 to 9. Calculate the chance of guessing a two-, three-, four-, five- or six-digit (jackpot) number. Choose the number of digits in your number first and click the green button to generate random numbers. Currently, there are 54 different probability experiments that you can explore with these lottery machines!

Suggested Lessons or Activities:

  • This resource is great for studying probability. It can be used to generate practically any probability from 1:2 to 1:1,000,000, sometimes several different ways. Here is some background information as how to calculate the probability:

  • How many possible 2-digit numbers can you make with 1, and 2. Here are the four possible numbers (2x2 = 4):
11, 12, 21, 22
Using only 1 and 2 as your digits is similar to flipping coins where you get Head or Tails. Try this resource also: Coin Flip (flip 1 to 10 coins at the same time).

  • How many possible 2-digit numbers can you make with 1, 2, and 3. Here are the nine possible numbers (3x3 = 9):
11, 12, 13, 21, 22, 23, 31, 32, 33

  • How many possible 3-digit numbers can you make with 1, 2, and 3. Here are the twenty-seven possible numbers (3x3x3= 27):
111, 112, 113, 121, 122, 123, 131, 132, 133,
211, 212, 213, 221, 222, 223, 231, 232, 233
311, 312, 313, 321, 322, 323, 331, 332, 333


  • How many possible 6-digit numbers can you make with 1, 2, 3, 4, 5, 6, 7, 8, and 9. There are more than half a million possible numbers (9x9x9x9x9x9= 531441):
111111, 111112, 111113, ..., 999999

  • How many possible 6-digit numbers can you make with 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. There are exactly 1 million possible numbers (10x10x10x10x10x10= 1000000):
all whole numbers from 0 to 999999

Your chance of correctly guessing such a 6-digit number is 1 in one million.
Believe it or not, the odds of winning many lottery jackpots is even much smaller than this. We describe this kind of probability as extremely unlikely. The moral of the story is that it is best to save your money rather than spend it on lotteries and other forms of gambling!

Special Features:

  • full screen
  • 9 different lottery machines
  • ability to choose what digits and how many digits you want in an experiment (very versatile)

Other Related Modules and Useful Links: