Pass Check: Venn Diagrams & Set Notation
Fill in the intersection first, then work outwards; use set notation accurately.
Universal set (ξ)
The set containing all elements being considered in a given situation.
Intersection (A ∩ B)
The elements that are in both set A and set B.
Union (A ∪ B)
The elements that are in set A, set B, or both.
Complement (A')
All the elements in the universal set that are not in set A.
Quick check
Mixed quiz
1. Which notation means 'x is an element of set A'?
2. Which expression represents 'A and not B' using set notation?
3. What symbol represents the intersection of two sets?
4. Which calculation finds P(A and B) for independent events A and B?
5. Which is a correct feature of tree diagrams without replacement?
6. Which represents the correct formula for conditional probability P(A|B)?
7. A frequency table has values [10, 20, 30, 40, 50] with frequencies [6, 8, 4, 6, 2] respectively. Find the total frequency.
8. Data set A has mean 50, data set B has mean 60. If both have the same range, what can you conclude?