A. let a be the set of strings of o's and 1's of length 3 or less. define the relation of d on a by udy if x is contained within y. for example, 01d101. draw a digraph for this relation. b. do the same for the relation p defined by xpy if x is a prefix of y. for example, 10p101, but 01p101 is false.

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.