In a traditional lottery game, you are given the opportunity to choose 6 numbers between the numbers 1 and 48. If your 6 numbers are chosen, then you win the jackpot! Discuss the following set of questions with the members of your group:
- If you were to play the lottery game described, would you choose the 6 numbers 1, 2, 3, 4, 5, and 6? Why or why not? 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 the lotto game described, what 6 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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