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CMAT Topics

Probability

Probability measures the likelihood of events occurring. It is widely used in TU CMAT to test logical reasoning, event analysis, and numerical interpretation skills.

Practice MCQs for Probability

Fundamental Principles

Probability

Probability is the ratio of favorable outcomes to total possible outcomes. P(E) = Favorable outcomes / Total outcomes.

Sample Space

The set of all possible outcomes of a random experiment.

Event

A subset of sample space representing a specific outcome or group of outcomes.

Complement of an Event

The probability that an event does not occur. P(A') = 1 - P(A).

Independent Events

Two events are independent if the occurrence of one does not affect the other.

Essential Formulation Tips

  • Draw sample space when dealing with coins, dice, or cards.
  • Use complement method to reduce complex calculations.
  • Break multi-event problems into smaller independent events.
  • Convert word problems into mathematical events first.

Shortcut Execution Techniques

  • At least one = 1 - (none)
  • Both events = multiply probabilities if independent
  • OR cases = add probabilities
  • Use Venn diagrams for clarity in overlapping events

Contextual Inquiries (FAQs)

Q: What is the most important rule in probability?

A: The addition and multiplication laws of probability are the most frequently used in CMAT problems.

Q: What is independent event in probability?

A: Events where the outcome of one does not affect the other.

Q: What is the fastest way to solve probability problems?

A: Use complement method and clear sample space definition.