Do the numbers 5, 23, 27, 35, 42, and 43 have the same or different probability of winning than the numbers you chose? Why or why not?

In a lottery game, you choose 6 numbers between 1 and 48. Six numbers are selected at random, and if you have chosen all 6 numbers, then you win the jackpot! Discuss the following questions with the members of your group:

To play this lottery game, I chose the numbers 1, 2, 3, 4, 5, and 6. What do you think about that choice? How unlikely do you think those numbers are to win?
Select your 6 favorite numbers between 1 and 48. That is, if you were to play this lottery, which numbers would you choose?
Do the numbers 5, 23, 27, 35, 42, and 43 have the same or different probability of winning than the numbers you chose? Why or why not?
Do the numbers 1, 2, 3, 4, 5, and 6 have the same or different probability of winning than the numbers you chose? Why or why not?
Based on your answer to #4, does it make sense to play the lottery with your numbers, or is it better to play 1, 2, 3, 4, 5, and 6?

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