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To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person will one combination of five numbers will win? What is the probability of winning if 100 different lottery tickets are purchased?

User Elkoo
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Answer:

Explanation:

Given

There are 45 numbers out of which 5 numbers are required to win an enormous sum of money

No of ways in which 5 numbers can be selected out of 45 numbers.


^nC_r=(n!)/((n-r)!r!)

here n=45, r=5


^(45)C_5=(45!)/(40!5!)


^(45)C_5=1221759

out of which there is only combination foe contest winning


P=(1)/(1221759)

When 100 different tickets are bought then

Probability of winning
=(100)/(1221759)

User Atarasenko
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