SSC CGL Statistics – Probability Theory – Level 1 · Warm-up

← Back

SSC CGL Statistics – Probability Theory – Level 1 · Warm-up – 12 questions, subject: Statistics (Tier II Paper II). Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

Get daily current affairs & exam alerts – follow us YouTube WhatsApp Channel Telegram Channel Facebook Page Instagram
Share with friends & study groups
Link to this page from your website / blog (HTML code)
1.  
The probability of an impossible event is:

Correct Answer: D [0]

Explanation:

The impossible event is the empty set: P(∅) = 0.

2.  
A coin is tossed three times. The probability of getting exactly two heads is:

Correct Answer: C [3/8]

Explanation:

HHT, HTH, THH – 3 of the 8 outcomes.

3.  
Two dice are rolled. The probability that the two numbers differ by exactly 2 is:

Correct Answer: A [2/9]

Explanation:

(1,3), (2,4), (3,5), (4,6) and their reverses: 8 of 36 = 2/9.

4.  
One card is drawn from a well-shuffled pack of 52. The probability that it is a face card (J, Q or K) is:

Correct Answer: B [3/13]

Explanation:

Answer: 3/13. 12 face cards → 12/52 = 3/13.

5.  
The odds against an event are 5 : 3. Its probability is:

Correct Answer: C [3/8]

Explanation:

Against a : b → P = b/(a + b) = 3/8.

6.  
If P(A) = 0.35, then P(not A) is:

Correct Answer: D [0.65]

Explanation:

Answer: 0.65. 1 − 0.35 = 0.65.

7.  
A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.45. P(A ∪ B) is:

Correct Answer: A [0.75]

Explanation:

Answer: 0.75. Exclusive → just add: 0.75.

8.  
A and B are independent with P(A) = 0.6 and P(B) = 0.5. P(A ∩ B) is:

Correct Answer: B [0.3]

Explanation:

Answer: 0.3. 0.6 × 0.5 = 0.3.

9.  
Statement-basedWhich of the following is/are correct?
I. Mutually exclusive events cannot occur together.
II. Exhaustive events together cover the whole sample space.

Correct Answer: D [Both I and II]

Explanation:

Answer: Both I and II. Both are the definitions.

10.  
Match the followingMatch the approach with its idea:
P. Classical Q. Relative frequency R. Axiomatic S. Bayes' theorem
1. three axioms of Kolmogorov 2. revising probabilities after evidence 3. favourable ÷ equally likely outcomes 4. long-run proportion f/N

Correct Answer: B [P-3, Q-4, R-1, S-2]

Explanation:

Classical m/n; frequency f/N; axiomatic – Kolmogorov; Bayes – revision.

11.  
Fill in the blankP(A ∣ B) = P(A ∩ B) ÷ ______, provided it is not zero.

Correct Answer: C [P(B)]

Explanation:

Conditioning on B makes B the new sample space.

12.  
How many outcomes are there in the sample space when four coins are tossed?

Correct Answer: A [16]

Explanation:

Answer: 16. 2⁴ = 16.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Statistics (Tier II Paper II) book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-statistics

📘 SSC CGL 2026 – Statistics (Tier II Paper II)
Here you get the answer with a one-line explanation. 657 original questions with worked answers · notes, formulas, figures and statistical tables (z, t, χ², F) · practice sets + 3 mock tests
Get the book – ₹149 ₹299 →
Score: 0 Answered: 0 / 0