Question

To play a certain lottery, a person has to correctly select 5 out of 62 numbers, paying $1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, mountains of money are bestowed. What is the probability that a person with one combination of five numbers will win? What is the probability of winning if 100 different lottery tickets are purchased?

Answer 1

Figure out what the probability is of getting one number correct, then figure out the probability of getting the next number correct, so on and so forth for all 5 numbers. That will give you the probability of one combination of 5 numbers winning.

Then for the second question, simply take the probability of winning with ONE set of 5 numbers and multiply it by 100 (representing if you had ONE chance to win 100 times, i.e. each ticket)