Question

At a baseball game, one lucky ticket holder will win an all-expense paid family vacation from one of the baseball team's corporate sponsors. There are 5,000 ticket holders at the game. The sponsor wants to place chips, labeled with the seat numbers of each ticket holder, in a bin and draw the winner from the bin. Unfortunately, the bin will only hold 500 chips. Which of the following best describes a method of assuring that the corporate sponsor can use the bin for the drawing and that each ticket hold has a fair change of winning?

A.
Place chips, labeled with the seat numbers of each ticket holder, into ten lots based on age. Then, randomly select one of the lots and place it in the bin. Randomly select the winner of the all-expense paid family vacation from the bin.

B.
Given that the corporate sponsor's bin can only hold 500 entries, there is no way to assure that each of the 5,000 ticket holders has a fair chance of winning the all-expense paid family vacation.

C.
Place the chip, labeled with the seat number of the first 500 ticket holders, into the bin, and randomly select the winner of the all-expense paid vacation from the bin.

D.
Randomly assign the 5,000 ticket holders to 50 equal-size lots. Then, randomly select five of the lots and place them in the bin. Randomly select the winner of the all-expense paid family vacation from the bin.

Answer 1

D

Explanation:

Answer 2

D

Explanation:

For it to be fair, everyone should have a probability of 1/5000 of winning

D says:

50 slots and selecting 5 so the probability of being one of those 5 is 5/50 = 1/10

Then wimmer will be chosen from 500 : 1/500

Winner is the one who's selected from a slot and the bin:

(1/10)×(1/500)

= 1/5000