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?