Acertain game consists of rolling a single fair die and pays off as follows: $7 for a 6, $2 for a 5, $1 for a 4, and no payoff otherwise.

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.