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In many state lotteries you can choose which numbers to play. Consider a common

ID: 3209028 • Letter: I

Question

In many state lotteries you can choose which numbers to play. Consider a common form in which you choose 5 numbers. Which of the following strategies can improve your chance of winning ? If the method works, explain why if not, explain why using appropriate statistics terms. Choose randomly from among the numbers that have not come up in the last 3 lottery drawings. Generate random numbers using a computer or calculator and play those. Will randomly choosing from among the numbers, that have not come up in the last 3 lottery drawings improve your chances of winning? No, because each number drawn is dependent on the previous drawings, so this set of numbers is more likely in the next drawing if it has yet to be drawn. No, because each number drawn is equally likely and independent of the others, so this set numbers is just as likely as any other in the next drawing. Yes, because each number drawn is dependent on the previous drawings, so this set of numbers is more likely in the next drawing if it has yet to be drawn. Yes, because each number drawn is equally likely and independent of the others, so this set of numbers is just as likely as any other in the next drawing. Will generating random numbers using a computer or calculator improve your chances of winning? No, because each number drawn is equally likely and independent of the others, so this set of numbers is just as likely as any other in the next drawing. Yes, because each number drawn is dependent on the previous drawings, so this set of numbers is more likely in the next drawing it has to be drawn. No, because each number drawn is dependent on the previous drawings, so this set of numbers is more likely in the next drawing if it has yet to be drawn. Yes, because each number drawn is equally likely and independent of the others, so this set of numbers is just an likely at any other in the next drawing.

Explanation / Answer

A.

B. No, becuase each drawn is equally likely and independent of the others, so this set of numbers is just as likely as the any other in the next drawing

B.

A.No, becuase each drawn is equally likely and independent of the others, so this set of numbers is just as likely as the any other in the next drawing

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