Probability

Complementary Event

The complement of event A contains all outcomes where A does not occur.

Meaning

What Is Complementary Event?

The complement of event A contains all outcomes where A does not occur.

The complement of event A contains all outcomes where A does not occur.

Examples

Examples of Complementary Event

1If A is “roll a 6”, Aᶜ is “roll 1–5”.
Understand

Formula and Key Points

Formula / rule
P(Aᶜ)=1−P(A)
  • Know the definition and standard notation for Complementary Event.
  • Be able to recognise or compute complementary event in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

Used in randomized algorithms, artificial intelligence, reliability, networking, security and data science.

FAQ

Complementary Event: Frequently Asked Questions

What is Complementary Event?

The complement of event A contains all outcomes where A does not occur.

Why is Complementary Event useful in computer science?

Used in randomized algorithms, artificial intelligence, reliability, networking, security and data science.