In many state lotteries you can choose which numbers to play

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 statisics terms.

Will always playing 1,2,3,4,5 improve your chances of winning?

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

B) Yes, because each number drawn is equally likely and indendent 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) 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.

Solution

D) No, because each number drawn is equally likely and indendent of the others, so this set of numbers is just as likely as any other in the next drawing.

Each number has an equal probability of winnig. Selecting a number from computer or calculator woulnot increase the chances of winnig.