Union Intersection Formula

If a and b are sets we define their union as the set consisting of all elements that belong to a or b and denoted it by a u b is x x a or x b intersection of sets.

Union intersection formula. Note if the intersection is empty then a and b are said to be disjoint. Union and intersection of three sets if a b and c are three finite joint sets then their union will be n a b c n a n b n c n a b n a c n b c n a b c. We need to determine the probability of the intersection of these two events or p m f. Formulas and cheat sheets generator for union intersection complement and difference.

N a b n a n b n a b simply the number of elements in the union of set a and b is equal to the sum of cardinal numbers of the sets a and b minus that of their intersection. This example illustrates how to use the union and intersect operator borders below for illustration only in excel. The union operator comma adds two ranges. Given four sets a b c and d the formula for the union of these sets is as follows.

This is the set of all distinct elements that are in both a a a and b b b. P a u b u c u d p a p b p c p d p a b p a c p a d p b c p b d p c d p a b c p a b d p a c d p b c d p a b c d. The sum function reduces to sum c4 d8 sum d7 e11 20. The intersection of 2 sets a a a and b b b is denoted by a b a cap b a b.

We define the intersection of a collection of sets as the set of all distinct elements that are in all of these sets. A useful way to remember the symbol is i cap tersection. Ii union of two sets. We can define the union of a collection of sets as the set of all distinct elements that are in any of these sets.

Within a given universal set union can be written in terms of the operations of intersection and complement as a b a c b c c displaystyle a cup b left a c cap b c right c where the superscript c denotes the complement with respect to the universal set. The above formula shows us that p m f p m f x p f. The probability that a female is selected is p f 280 400 70.