Probability Quiz
Free practice quiz on Probability Quiz with detailed solutions for government exam preparation.
About This Quiz
Probability Quiz — Questions with Solutions
All 25 questions from this quiz with the correct answer and explanation. Attempt them yourself first, then open each solution to check your reasoning.
Q1.What is the probability of getting a head when a fair coin is tossed once?
- A.1/4
- B.1/3
- C.1/2
- D.1
Show answer
Answer: C. 1/2
A fair coin has two equally likely outcomes, so P(head) = 1/2.
Q2.What is the probability of rolling a 4 on a fair six-sided die?
- A.1/2
- B.1/3
- C.1/6
- D.1/4
Show answer
Answer: C. 1/6
There is one favourable outcome out of six possible, so 1/6.
Q3.What is the probability of drawing a red card from a standard deck of 52 cards?
- A.1/4
- B.1/2
- C.1/3
- D.3/4
Show answer
Answer: B. 1/2
Half of the 52 cards are red, so the probability is 1/2.
Q4.A bag contains 3 red and 2 blue balls. What is the probability of drawing a red ball?
- A.2/5
- B.3/5
- C.1/2
- D.1/5
Show answer
Answer: B. 3/5
There are 3 red balls out of 5 total, so 3/5.
Q5.What is the probability of getting an even number when rolling a fair die?
- A.1/6
- B.1/3
- C.1/2
- D.2/3
Show answer
Answer: C. 1/2
There are 3 even numbers (2,4,6) out of 6, so 3/6=1/2.
Q6.Two coins are tossed. What is the probability of getting two heads?
- A.1/2
- B.1/3
- C.1/4
- D.1/8
Show answer
Answer: C. 1/4
There are 4 equally likely outcomes; only 1 gives two heads, so 1/4.
Q7.What is the probability of drawing an ace from a standard deck of 52 cards?
- A.1/13
- B.1/26
- C.1/52
- D.4/52 (equivalent to 1/13)
Show answer
Answer: D. 4/52 (equivalent to 1/13)
There are 4 aces out of 52 cards, i.e. 4/52 = 1/13.
Q8.A bag has 5 white and 5 black balls. What is the probability of drawing a white ball?
- A.1/2
- B.1/3
- C.1/4
- D.1/5
Show answer
Answer: A. 1/2
5 white balls out of 10 total gives a probability of 1/2.
Q9.What is the probability of NOT getting a 6 when rolling a fair die?
- A.1/6
- B.5/6
- C.1/2
- D.2/3
Show answer
Answer: B. 5/6
P(not 6) = 1 - P(6) = 1 - 1/6 = 5/6.
Q10.A card is drawn from a deck of 52. What is the probability it is a face card (Jack, Queen, King)?
- A.3/13
- B.1/4
- C.1/13
- D.4/13
Show answer
Answer: A. 3/13
There are 12 face cards out of 52, which simplifies to 3/13.
Q11.What is the sum of probabilities of all possible outcomes of an event?
- A.0
- B.0.5
- C.1
- D.2
Show answer
Answer: C. 1
The total probability of all possible outcomes always sums to 1.
Q12.A die is rolled twice. What is the probability of getting a 6 both times?
- A.1/6
- B.1/12
- C.1/36
- D.1/3
Show answer
Answer: C. 1/36
P(6 and 6) = 1/6 x 1/6 = 1/36.
Q13.What is the probability of an impossible event?
- A.1
- B.0.5
- C.0
- D.Undefined
Show answer
Answer: C. 0
An impossible event has a probability of 0.
Q14.What is the probability of a certain (sure) event?
- A.0
- B.0.5
- C.1
- D.Undefined
Show answer
Answer: C. 1
A certain event has a probability of 1.
Q15.A bag has 4 red, 3 blue, and 3 green balls. What is the probability of drawing a blue ball?
- A.3/10
- B.4/10
- C.3/7
- D.7/10
Show answer
Answer: A. 3/10
3 blue balls out of 10 total gives 3/10.
Q16.What is the probability of getting a number less than 3 when rolling a fair die?
- A.1/6
- B.1/3
- C.1/2
- D.2/3
Show answer
Answer: B. 1/3
Numbers 1 and 2 qualify, giving 2/6 = 1/3.
Q17.Two dice are rolled. What is the probability that the sum is 7?
- A.1/6
- B.1/12
- C.1/36
- D.5/36
Show answer
Answer: A. 1/6
There are 6 combinations giving sum 7 out of 36 total, i.e. 6/36 = 1/6.
Q18.What is the probability of drawing a spade from a standard deck of 52 cards?
- A.1/4
- B.1/2
- C.1/13
- D.1/26
Show answer
Answer: A. 1/4
There are 13 spades out of 52 cards, giving 13/52 = 1/4.
Q19.A coin is tossed 3 times. What is the probability of getting all heads?
- A.1/2
- B.1/4
- C.1/8
- D.1/6
Show answer
Answer: C. 1/8
P(HHH) = 1/2 x 1/2 x 1/2 = 1/8.
Q20.What is the probability of selecting a vowel from the word 'MATH'?
- A.1/4
- B.1/2
- C.1/3
- D.0
Show answer
Answer: A. 1/4
'MATH' has 4 letters, only 'A' is a vowel, giving 1/4.
Q21.A jar has 2 red, 2 blue, and 2 green marbles. What is the probability of drawing a green marble?
- A.1/2
- B.1/3
- C.1/6
- D.2/3
Show answer
Answer: B. 1/3
2 green marbles out of 6 total gives 2/6 = 1/3.
Q22.What is the probability of getting an odd number when rolling a fair die?
- A.1/6
- B.1/3
- C.1/2
- D.2/3
Show answer
Answer: C. 1/2
There are 3 odd numbers (1,3,5) out of 6, giving 1/2.
Q23.A deck of cards has 52 cards. What is the probability of drawing a king or a queen?
- A.2/13
- B.4/13
- C.8/52 (equivalent to 2/13)
- D.Both A and C
Show answer
Answer: D. Both A and C
There are 4 kings and 4 queens, i.e. 8/52 = 2/13.
Q24.If the probability of an event is 0.3, what is the probability of it NOT happening?
- A.0.3
- B.0.5
- C.0.7
- D.1
Show answer
Answer: C. 0.7
P(not event) = 1 - P(event) = 1 - 0.3 = 0.7.
Q25.What is the probability of choosing a consonant from the word 'PENCIL'?
- A.1/2
- B.2/3
- C.1/3
- D.5/6
Show answer
Answer: B. 2/3
'PENCIL' has 6 letters; 4 are consonants (P,N,C,L), giving 4/6 = 2/3.
Frequently Asked Questions
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Probability Quiz runs on a 25-minute timer in real exam-style conditions. The clock starts the moment you click Start, mirroring the time pressure of the actual exam.
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Yes. Every question on Probability Quiz ships with a complete step-by-step solution, the underlying concept, and (where applicable) shortcut tricks. You can also discuss any question with the AajExam community.
Can I attempt Probability Quiz multiple times?
Yes. You can attempt this quiz as many times as you like. Each attempt is recorded separately so you can track improvement in score, accuracy and time-management.
Which government exams does this quiz prepare me for?
Numerical Ability questions appear regularly in SSC CGL, CHSL, MTS, GD; IBPS PO, Clerk; SBI PO, Clerk; RRB NTPC, Group D; UPSC prelims and most State PSC exams. The specific weightage varies by exam — check the exam pattern on the corresponding AajExam exam page for details.