What is the probability of winning the prize with 50 different lottery tickets? (Rest of question below)

Question

A lottery game is set up so that each player chooses six different numbers from 1 to 15. If the six numbers match the six numbers drawn in the lottery, the player wins the top cash prize.

Answer 1

This is a combination because the order of the numbers does not make a difference - 1, 2, 3 is the same as 3, 2, 1.

 

₁₅C₆ = 5005

 

The probability of matching the six number is 1 in 5,005.