How do you find the maximum number of elements in an intersection B?

How do you find the maximum number of elements in an intersection B?

Number of elements of A∩B is equal to n (A∩B). n (A∩B): the number of elements which are common in both the sets A and B. We have to find the maximum number of elements which are in n(A∪B). So, the maximum of n(A∪B) is when n(A∩B) is minimum and the minimum of n(A∩B) is 0.

What is the minimum and maximum value of probability of an event?

The maximum value of the probability of an event can be 1 and its minimum value can be 0.

How do you find the maximum and minimum of a set?

Let the elements added to intersection of only two sets and intersection of three sets be x and y, respectively. These elements will have to cover the surplus. x + 2y = 125\%, where x + y =100\%. For minimum value of y, we need maximum value of x.

What is maximum probability value?

1
So, the maximum value of the probability of an event is 1.

What is the minimum value of probability of an event?

The minimum value of probability of an event is 0.

How do you find the maximum and minimum of a set of numbers?

The maximum and minimum also make an appearance alongside the first, second, and third quartiles in the composition of values comprising the five number summary for a data set. The minimum is the first number listed as it is the lowest, and the maximum is the last number listed because it is the highest.

How do you find the maximum value of a set?

You can use Collections. max(Collection) to find the maximum element out of any collection. Similarly, for a HashMap , you can use the same method on its keySet() or values() , depending upon whether you want maximum key, or maximum value.

How do you find the Union and intersection of two arrays?

Given two unsorted arrays that represent two sets (elements in every array are distinct), find the union and intersection of two arrays. Then your program should print Union as {1, 2, 3, 5, 6, 7, 8, 20} and Intersection as {3, 6, 7}. Note that the elements of union and intersection can be printed in any order.

What is the minimum size of the Union of a set?

The minimum size of the union would be when either A or B is entirely contained in B or A respectively. As for intersection, if the sets A and B are disjoint, the intersection of A and B would be empty, so the size of the set would be zero – if you think that is cheating, arrange for the intersection…

What is the maximum possible value of the Union?

So, we have to maximize the value of the union. We know that the maximum possible value of the union ie n (tea U coffee) = 100 So, we need to figure out the surplus : n (tea) + n (coffee) = 80 + 70 = 150.

What can be the minimum number of elements in a ∪ B?

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A ∪ B n (A∪B) will be minimum when n (A ∩ B) = 0 and maximum when n (A ∩ B) = 3. n (A ∪ B) = n (A) + n (B) − n (A ∩ B) = (3 + 6 − 3) = 6. The minimum number of elements in A ∪ B = 6.