Let’s start with the easier games to calculate the probability:
In Ontario, PICK 2 is a game and it is available to people >age 19. You have to pick two matching numbers (from 0 to 9) to win. What is the probability of winning? (if you have two matching number, you will win $99)
- how many numbers in the first slot? 10 (0,1,2,3,4,5,6,7,8,9)
__1/10___ , __1/10___ =1/10 x 1/10 = (1x1)/(10x10) = 1/100 (slim chance of winning)
What is the probability of winning PICK 3?
- how many numbers in the first slot? 10 (0,1,2,3,4,5,6,7,8,9)
__1/10____ , ___1/10__ , __1/10___ = (1/10) x (1/10) x (1/10) = 1/1000 (even less likely to win)
What is the probability of winning PICK 4? (if you have four matching number, you will win $5000)
___1/10___ , __1/10___ , __1/10___ , ___1/10__ (1/10) x (1/10) x (1/10) x (1/10) = 1/10000 (almost impossible to win)
Then, we have the bigger jackpots lottery. The famous Lotto 649
Out of 49 numbers, from 1 to 49, pick six numbers correctly. What is the probability for doing that? (if you have six matching number, you will win $36 million)
- to make it affordable to play, you only need $2 and have a dream
_1/49__ , ___1/48_ , __1/47__ , __1/46__ , __1/45___ , __1/44___
Chance of winning = (1x1x1x1x1x1)/(49x48x47x46x45x44) = 0 (almost 0% chance of winning)
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