Module 6 · Modern Mathematics
Chapter 54: Probability
Modern Mathematics
4 topics
🎯 1 practice questions
What this chapter covers
The 4 topics below make up Probability on the CAT. Click any topic to open its notes, examples and practice test.
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Formula Reference Sheet
This chapter
Core probability rules
| Classical probability | P(E) = favourable / total |
|---|---|
| Range of probability | 0 ≤ P(E) ≤ 1 |
| Complement rule | P(E′) = 1 − P(E) |
| Addition rule | P(A∪B) = P(A) + P(B) − P(A∩B) |
| Mutually exclusive | P(A∩B) = 0 ⇒ P(A∪B) = P(A) + P(B) |
Conditional, independence & Bayes
| Conditional probability | P(A|B) = P(A∩B) / P(B) |
|---|---|
| Multiplication rule | P(A∩B) = P(B) × P(A|B) |
| Independent events | P(A∩B) = P(A) × P(B) |
| Total probability | P(A) = P(B)·P(A|B) + P(B′)·P(A|B′) |
| Bayes’ theorem | P(B|A) = P(B)·P(A|B) / P(A) |
CAT reference
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