For 2017, Tim Hortons offered 40 grand prizes of the 2017 Honda Civic Coupe EX-T, 150 55-inch LG 4K UHD Smart TVs, 100 $5,000 CIBC prepaid cards, 24,000 $100 TimCards and approximately 16 millions in coffee and food prizes. Tim Hortons produced approximately 96 million cups for the contest.
Here’s how winning cup prize distribution breaks down by region:
Region 1: British Columbia
● 3 each of 2017 Honda Civic Coupe Vehicles
● 11 each of 55′′ LG 4K UHD TVs 11
● 7 each of $5,000 CIBC Prepaid Cards
● 1,707 each of $100 Tim Cards 1,707
○ Total of 6 million cups distributed

Region 2: Alberta, Saskatchewan, Manitoba, Northwest Territories, Yukon and Nunavut
● 7 each of 2017 Honda Civic Coupe Vehicles
● 24 each of 55′′ LG 4K UHD TVs 11
● 17 each of $5,000 CIBC Prepaid Cards
● 3,982 each of $100 Tim Cards 1,707
○ Total of 16 million cups distributed

Region 3: Ontario
● 20 each of 2017 Honda Civic Coupe Vehicles
● 79 each of 55′′ LG 4K UHD TVs 11
● 53 each of $5,000 CIBC Prepaid Cards
● 12, 596 each of $100 Tim Cards 1,707
○ Total of 50 million cups distributed

Region 4: Quebec
● 5 each of 2017 Honda Civic Coupe Vehicles
● 19 each of 55′′ LG 4K UHD TVs 11
● 12 each of $5,000 CIBC Prepaid Cards
● 3,002 each of $100 Tim Cards 1,707
○ Total of 13 million cups distributed

Region 5: Atlantic Provinces
● 5 each of 2017 Honda Civic Coupe Vehicles
● 17 each of 55′′ LG 4K UHD TVs 11
● 11 each of $5,000 CIBC Prepaid Cards
● 2, 723 each of $100 Tim Cards 1,707
○ Total of 11 million cups distributed

The following statement is made by the executive contest team at “Tim Hortons” on their website:
The overall approximate odds in Canada to win a Coffee & Food prize is 1 in 6.

A. Explain the problems with the statement made by the executive team. Show calculations.

Remember: For 2017, Tim Hortons offered 40 grand prizes of the 2017 Honda Civic Coupe EX-T, 150 55-inch LG 4K UHD Smart TVs, 100 $5,000 CIBC prepaid cards, 24,000 $100 TimCards and approximately 16 millions in coffee and food prizes. Tim Hortons produced approximately 96 million cups for the contest.

B. Calculate the odds in favour of winning 2017 Honda Civic Coupe Vehicles in Region 1. 

C. Calculate the odds against winning a 2017 Honda Civic or a 55′′ LG 4K UHD TV in Region 1. 

D. Calculate the probability of winning all 4 big prizes (1 Honda Civic and 1 TV and 1 Prepaid Cards and 1 Tim Cards 1,707) in Region 2. 

E. Calculate the probability of winning a $5,000 CIBC Prepaid Cards in Region 3 or Region 4.

F. Calculate the odds in favour of winning at least one of the 4 big prizes in Region 5. 

G. Assuming that the odds to win a coffee or food prize in Canada are the same in any region, calculate the number of coffee cups that have Coffee and Food Prizes in Ontario.