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

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 strategics can improve your chance of winning? If the method works, explain why. If not, explain why using appropriate statistics terms. a) Choose randomly from among the numbers that have not come up in the last 3 lottery drawings. b) Choose the numbers that did come up in the most recent lottery drawing. a) Will randomly choosing from among the numbers that have not come up in the last 3 lottery drawings improve your chances of winning? A. 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. B. 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. C. 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. D. 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. b) Will choosing the numbers that did come up in the most recent lottery drawing improve your chances of winning? A. 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. B. 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. C. 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. D. 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.

Explanation / Answer

Basically, in lottery, they ensure that the draws are independent, that is, whatever happened in the past is not at all related to what will happen in the future.

Hence, there is no strategy in lottery. W cannot maximize our chances.

OPTION C: 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. [ANSWER]

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