Table of Contents
How do you find the minimum number of A union B?
n (A ∪ B) = n (A) + n (B) − n (A ∩ B) = (3 + 6 − 3) = 6. The minimum number of elements in A ∪ B = 6.
How do you find the maximum Union?
Hint: As we have asked to find the maximum number of elements in A∪B, we must know the formula of n (A∪B) which is equal to n (A) + n (B) – n (A∩B) where n represents number of elements. Now, n (A∪B) is maximum when n (A∩B) will be minimum and minimum of n (A∩B) is 0.
What are the maximum and minimum possible values for P A ∩ B )?
The maximum value of P(A and B) is the lower of the two probabilities, P(A) and P(B). The maximum probability of intersection can be 0.4 because P(A) = 0.4. To find the minimum value of P(A and B), consider that any probability cannot exceed 1, so the maximum P(A or B) is 1.
What is N (( AUB )’)?
U stands for union which can also mean OR. U is used to combine the values of two sets together. the statement n(AUB) means – COUNT the number of values in set A OR set B.
How do you find the least and maximum value of N(A∪B)?
So, for the least value of n (A∪B), the value of n (A∩B) must be maximum and vice-versa. Maximum value of n(A∩B) = n(A) = 21. and the minimum value of n(A∩B) = n(A) + n(B) – n (U) = 21 + 43 – 60 = 64 – 60 = 4.
How do you find the number of elements in a union?
Simply put 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.
How do you find the Union of two finite sets?
If A and B are two finite sets, then 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. Figure 2- Union of two sets
What is Union and intersection of sets?
Union And Intersection Of Sets. Cardinal Number of a set. The number of distinct elements or members in a finite set is known as the cardinal number of a set. Basically through cardinality we define the size of a set. The cardinal number of a set A is denoted as n(A), where A is any set and n(A) is the number of members in set A.