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TCS NQT GuideTCS NQT Numerical AbilityProbability Theory and Sample Space Questions

Probability Theory and Sample Space Questions

Learn core concepts, essential formulas, and attempt practice questions designed on the latest TCS NQT testing patterns.

Key Concepts & Formulas

  • 1Probability P(A) = Favorable outcomes / Total outcomes in Sample Space.
  • 2Range: 0 <= P(A) <= 1.
  • 3Complement rule: P(not A) = 1 - P(A).
  • 4Independent events: P(A and B) = P(A) * P(B).
  • 5Addition rule: P(A or B) = P(A) + P(B) - P(A and B).

TCS NQT Style Practice Questions

Practice Question 1

A card is drawn from a pack of 52 cards. Find the probability that it is a King.

A) 1/13
B) 1/52
C) 4/13
D) 1/4

Correct Answer: A) 1/13

Step-by-step Solution: Total kings = 4. Total cards = 52. Probability = 4/52 = 1/13.

Practice Question 2

Two coins are tossed. Find the probability of getting at least one Head.

A) 3/4
B) 1/2
C) 1/4
D) 2/3

Correct Answer: A) 3/4

Step-by-step Solution: Sample space: {HH, HT, TH, TT}. Total = 4. Favorable (at least 1 head) = {HH, HT, TH} = 3. Probability = 3/4.

Study Pro-Tip

At least one questions are solved fastest by subtracting the probability of none from 1.