How do you find the minimum and maximum value of a set?
The minimum value of |A int B| is 0, when A and B are disjoint, and the maximum value of |A int B| is the smaller of |A| and |B|, which holds when one of the sets is a subset of the other.
How do you find the highest number in a set?
Calculate the smallest or largest number in a range
- Select a cell below or to the right of the numbers for which you want to find the smallest number.
- On the Home tab, in the Editing group, click the arrow next to AutoSum. , click Min (calculates the smallest) or Max (calculates the largest), and then press ENTER.
What is the smallest possible value of P A and B?
zero
A and B could be disjoint, so the minimum possible value of P(A∩B) is zero.
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.
What is the maximum and minimum value of P(A and B)?
In this case, ( A and B) = B which means when your left knee is sore, you right know must also be sore. In summary, the maximum value of P ( A or B) is 0.25 and the minimum value is 0.15. Thanks for contributing an answer to Cross Validated!
What does it mean when P(A and B) = 0?
P ( A and B) = 0 means there is no overlap between A and B (the left knee and the right knee will never be sore at the same time). Similarly, the minimum possible value of P ( A or B) is obtained if P ( A and B) is at its maximum possible value.
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…