Question

1. Chainey's Dairy Barn recently ran a promotion where everyone who bought a double scoop of ice cream received a sticker which they can scratch off to reveal a prize. The prize gives customers a percent off their next purchase. The scratch wheel is divided into 12 slices. Six slices are red and award a 10% discount, three slices are white and award a 20% discount, and two slices are blue and award a 40% discount. The remaining slice is gold and awards a 100% discount if the customer scratches that slice! What is the probability that two customers in a row get a 20% discount?

   		0.0625
   		3/12
   		2/12
   		9/12
   		10/12

Answer 1

The scratch wheel is divided into 12 parts.

Six slices are red. The probability of getting a red slice is 6/12. offering 10% discount.

Three slices are white. The probability of getting a white slice is 3/12. offering 20% discount.

Two slices are blue. The probability of getting a blue slice is 2/12. offering 40% discount.

One slice is gold. The probability of getting a gold slice is 1/12. offering 100% discount.

The probability that two customers in a row get a 20% discount is (3/12)*(3/12) = 0.0625