Thursday, April 19, 2012

What is the probability of winning a lottery game where the winning number is made up of seven digits from 0 to 9 chosen at random?

The probability of winning the lottery = the probability
of choosing all 7 digits correctly. That is:


The
probability of choosing the first digit = 1/10


The
probability of choosing the 2nd digit = 1/10


The
probability of choosing the 3rd digit= 1/10


The
proabability of choosing the 4th digit= 1/10


The
probability of choosing the 5th digit= 1/10


The probability
of choosing the 6th digit= 1/10


The probability of choosing
the 7th digit= 1/10


Thne the probability of choosing all 7
digits= 1/10*1/10*1/10*1/10*1/10*1/10*1/10= 1/10^7 =
1/10000000


Then the probability of winning  is one in a
10,000,000

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