Ebony owns a number of shops. She keeps careful records about which products sell best and notes ideas about how to increase sales. One of Ebony's stores is a small shop that sells hats and caps.

A-Ebony held a contest for the best hat design, planning to award a camera to the designer with the winning entry. She received numerous entries and narrowed her choice for first place to two designs; however, she couldn't decide between Dawnie's design and Betty's design. Since Ebony couldn't decide which of these two designs was better, she decided to hold a random drawing to determine the winner.

B-Ebony planned to randomly pull chips from a bag. She put 20 chips in the bag: 10 gold chips and 10 silver chips. Ebony says she will pull 2 chips out of the bag, one at a time. If the 2 chips are the same color, she will give the camera to Betty. If the 2 chips are different colors, she will give the camera to Dawnie. Is this method fair? If it is not, explain w

Question

Mathematics

Ignacio Chaney

23 January, 22:43

Ebony owns a number of shops. She keeps careful records about which products sell best and notes ideas about how to increase sales. One of Ebony's stores is a small shop that sells hats and caps.

A-Ebony held a contest for the best hat design, planning to award a camera to the designer with the winning entry. She received numerous entries and narrowed her choice for first place to two designs; however, she couldn't decide between Dawnie's design and Betty's design. Since Ebony couldn't decide which of these two designs was better, she decided to hold a random drawing to determine the winner.

B-Ebony planned to randomly pull chips from a bag. She put 20 chips in the bag: 10 gold chips and 10 silver chips. Ebony says she will pull 2 chips out of the bag, one at a time. If the 2 chips are the same color, she will give the camera to Betty. If the 2 chips are different colors, she will give the camera to Dawnie. Is this method fair? If it is not, explain w

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Answers (1)

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Cherish · Answer 1

Answer: No. The method is not fair.

The probability of pulling a gold or a silver for the first time is 1/10. The probability of getting the same color the second time is 1/9. The probability of getting a different color on the second pullout is still 1/10. Therefore, the chance that two different colors will be pulled out is higher than that of the same color.