SOLUTION: In a scratch off lottery ticket of 3 digits, (A) the chances of matching those digits is 1 in 1000. Also, (B) the amount in a matching ticket is typically $500, meaning the state

Question 1199401: In a scratch off lottery ticket of 3 digits, (A) the chances of matching those digits is 1 in 1000. Also, (B) the amount in a matching ticket is typically $500, meaning the state is making $500 for every thousand tickets.
How are (A) and (B) calculated ?
Not sure how to solve.
Note: I haven't purchased a scratch off ticket, so I am not familiar with them. I am interested in the math.
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

There is one of ten possible digits 0, 1, 2 ,3, 4, 5, 6, 7, 8, 9 in each of the 3 positions.

So, the probability to get match in any (in every) single of the three positions is = 0.1.

Therefore, the probability to get match in all three position simultaneously is = = , as stated.

Regarding the $500, it depends on the price of each ticket, which (the price) is not given in your post.

THEREFORE, we problem is not complete to answer this question about $500.

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