Question

Please help!

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 same  colors will be pulled out is higher than that of different colors.  Betty  has an advantage in the drawing by 1.1%.

 

Solution:

Probability of same color:

1/10+1/9

9/90+10/90

21.1%

Probability of different colors

1/10+1/10

2/10

20%

21.1%-20%=1.1%