Probability - Topic 3 Flashcards
Understand and use mutually exclusive and independent events, understand conditional probability, and modelling
1
Q
Year 2 - Chapter 2.1+2
All types of set notation:
A
- P(A∩B) - A intersection B (A and B), the area of the diagram where both A and B overlap
- P(A∪B) - A union B (A or B), the area of the diagram where data is in either A or B
- P(A’) - not A, the area of the diagram that isn’t in A; 1 - P(A) = P(A’)
- P(A’∪B’) - Means the same as P(A∩B)’; everything apart the intersection of A∩B
- P(A|B) - The probability of A given B has already occurred
- P(A|B’) - The probabilty of A given B has not happened
2
Q
Year 2 - Chapter 2.4
All types of probability formulae:
A
Additional formula
- P(A∪B) = P(A) + P(B) - P(A∩B)
Multiplication formula
- P(B|A) = P(A∩B) ÷ P(A)
- P(A∩B) = P(B|A) x P(A)
3
Q
Year 2 - Chapter 2.6
Description of the tree diagram
A
The first branch simply denotes whether the outcome has, or has not, happened. The probabilites on the second set of branches represent the conditional probabilities of B given that A has, or has not, happened.
