Answer:
The ratio of non-winners in group A to non-winners in group B is
576 : 515.
Step-by-step explanation:
It is provided that, in group A, of the 720 people [tex]\frac{1}{5}[/tex] of the people will win $15 fuel cards.
The number of people winning the cards is:
[tex]n(Win\ cards)=n(A) = 720\times\frac{1}{5} =144[/tex]
Then the number of people not winning cards in group A is:
[tex]n(A^{c})=720-n(A)=720-144=576[/tex]
Also the same number of people win the cards in group B of 659 people.
Compute the number of people not winning cards in group B as follows:
[tex]n(B^{c})=659-144=515[/tex]
Compute the ratio of non-winners in group A to non-winners in group B as follows:
[tex]n(A^{c}):n(B^{c})=\frac{576}{515}[/tex]
Thus, the ratio of non-winners in group A to non-winners in group B is
576 : 515.
