Helps visualize and calculate probabilities or counts for intersections and unions of sets.
Start with your values, or try a preset.
Enter Number of elements in Set A, Number of elements in Set B, Number of elements in the intersection of A and B (A ∩ B), and Total number of elements in the universal set in the units shown.
Read Probability of A ∩ B, Number of elements only in B, Number of elements only in A, Number of elements in the union of A and B (A ∪ B), Probability of A ∪ B, and Number of elements neither in A nor B in the results panel. Results update as you change the inputs.
Choose a preset to load an example, then adjust the values for your situation.
See the inputs and their calculated results.
Number of elements in Set A: 50; Number of elements in Set B: 40; Number of elements in the intersection of A and B (A ∩ B): 10; Total number of elements in the universal set: 100
Probability of A ∩ B: 0.1; Number of elements only in B: 30; Number of elements only in A: 40; Number of elements in the union of A and B (A ∪ B): 80; Probability of A ∪ B: 0.8; Number of elements neither in A nor B: 20
Number of elements in Set A: 30; Number of elements in Set B: 20; Number of elements in the intersection of A and B (A ∩ B): 5; Total number of elements in the universal set: 50
Probability of A ∩ B: 0.1; Number of elements only in B: 15; Number of elements only in A: 25; Number of elements in the union of A and B (A ∪ B): 45; Probability of A ∪ B: 0.9; Number of elements neither in A nor B: 5
Number of elements in Set A: 70; Number of elements in Set B: 60; Number of elements in the intersection of A and B (A ∩ B): 20; Total number of elements in the universal set: 150
Probability of A ∩ B: 0.1333333333; Number of elements only in B: 40; Number of elements only in A: 50; Number of elements in the union of A and B (A ∪ B): 110; Probability of A ∪ B: 0.7333333333; Number of elements neither in A nor B: 40
Use calculators for algebra, geometry, trigonometry, probability, statistics, averages, z-scores, tests, and graphing tasks.
Continue with another tool on a related topic.
This calculator demonstrates the behavior of floating-point numbers in calculations and highlights potential precision issues due to the way computers store and manipulate these numbers. It allows you to input two numbers and an operation, then displays the result and the difference between the calculated result and a more precise value.
Visualizes the graph of a polynomial function by calculating and plotting points.
Calculates the angle whose sine is a given number. The result is in radians.
Calculates the average where some data points contribute more weight than others.