In a lottery game, you choose 6 numbers between 1 and 48. Six numbers are select
ID: 3267522 • Letter: I
Question
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?
Explanation / Answer
To play this lottery game, I chose the numbers 1, 2, 3, 4, 5, and 6.
What do you think about that choice?
Answer:
Each number between 1 and 48 has the same chance of being selected for sample of 6 numbers. Above numbers 1, 2, 3, 4, 5, and 6 are not primarily selected at random. But, each set or combination of six numbers has same chance of win the jackpot. So, above numbers have same chance of winning as compared to any set of six numbers between 1 and 48.
How unlikely do you think those numbers are to win?
Answer:
As we discussed above, all numbers or set of numbers should get equal opportunity for winning the jackpot. For the above set of six numbers, winning probability is same as any other set of six numbers. So, we expect same chance of win the jackpot.
Select your 6 favourite numbers between 1 and 48. That is, if you were to play this lottery, which numbers would you choose?
Answer:
Suppose we choose 3, 11, 17, 41 and 44.
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?
Answer:
The above both set of numbers have the same probability of winning because each individual number chosen for selection has the same probability of getting selected in the sample.
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?
Answer:
The winning probability of the numbers 1, 2, 3, 4, 5, and 6; and our selected numbers would be same as each set of six numbers have same probability of being selected for jackpot.
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?
Answer:
Based on the above answer, it does not make any sense to play the lottery with our numbers. Also, it is neither good nor better to play with 1, 2, 3, 4, 5, and 6, because we know there is same chance of of each set of six numbers for win the jackpot.
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