lottery problem and liam

User Generated

fghqrag1621

Mathematics

Description

To win a certain lottery, one must match three different numbers chosen from the integers 1 through 25,in any order.Liam buys 500 tickets.What is his probability of winning?Express your answer as a decimal to the nearest hundredth.

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Explanation & Answer

The total number of ways = 25C3 =25*24*23/6 =25*4*23 =2300

For 1 ticket the probability of winning is 1/2300

For 500 tickets the probability of winning is 500/2300 assuming each contains different three numbers.


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