Probability questions are frequently asked in the school, college examinations and Engineering, GATE, CAT, SSC, IBPS, UPSC and other competitions. Probability also comes in the several Engineering and Medical entrance examination after school. So this is a very important topic to learn before going to exam. Let’s check your knowledge :

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**Quiz Description** :

**Name : **Probability mcq practice test for Competitions

**Subject : **Maths

**Topic : **Probability

**Questions: **15 Objective type

**Time Allowed : **20 Minutes

**Important for : ** School students of Class 11th and 12th , B. Sc., M. Sc., BE/ B. Tech. College Students, GATE, IBPS, SBI, SSC, State level Competitions, Job interviews etc.

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- Question 1 of 15
##### 1. Question

1 points**In a throw of coin what is the probability of getting tails**Correct**Explanation –**In a coin there are 2 sides one is head and other one is tails when a coin is thrown so getting probability of head is 1/2.Incorrect**Explanation –**In a coin there are 2 sides one is head and other one is tails when a coin is thrown so getting probability of head is 1/2. - Question 2 of 15
##### 2. Question

1 points**3 unbiased coins are tossed, what is the probability of getting at least 2 tails?**Correct**Explanation –**Total cases are as follows :TTT, HHH, TTH, THT, HTT, THH, HTH, HHT = 8

Favoured cases are : TTH, THT, HTT, TTT = 4

Hence, the probability is 4/8 or 1/2.

Incorrect**Explanation –**Total cases are as follows :TTT, HHH, TTH, THT, HTT, THH, HTH, HHT = 8

Favoured cases are : TTH, THT, HTT, TTT = 4

Hence, the probability is 4/8 or 1/2.

- Question 3 of 15
##### 3. Question

1 points**In a throw of dice what is the probability of getting number greater than 5**Correct**Explanation –**In dice there are total 6 numbers, So no. Greater than 5 is only 6 which means the probability of getting no. Higher than 5 is 1. So, it is 1/6.Incorrect**Explanation –**In dice there are total 6 numbers, So no. Greater than 5 is only 6 which means the probability of getting no. Higher than 5 is 1. So, it is 1/6. - Question 4 of 15
##### 4. Question

1 points**What is the probability of getting the sum 9 from 2 throws of dice?**Correct**Explanation –**Total no. Of cases are 36Favoured cases are (3,6), (4,5), (6,3),(5,4) = 4

So, the probability is 4/36 or 1/9.

Incorrect**Explanation –**Total no. Of cases are 36Favoured cases are (3,6), (4,5), (6,3),(5,4) = 4

So, the probability is 4/36 or 1/9.

- Question 5 of 15
##### 5. Question

1 points**In a box, there are 8 green, 7 blue and 6 red balls. One ball is picked up randomly. What is the probability that it is neither blue nor red?**Correct**Explanation –**Total no. Of balls = (8+7+6) = 21Let (E) be the event

Therefore , n(E) = 8

P (E) = 8/21.

Incorrect**Explanation –**Total no. Of balls = (8+7+6) = 21Let (E) be the event

Therefore , n(E) = 8

P (E) = 8/21.

- Question 6 of 15
##### 6. Question

1 points**A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is**Correct**Explanation –**Total no. Of cards are 52Favorable card are 2

So, the probability is 2/52 or 1/26.

Incorrect**Explanation –**Total no. Of cards are 52Favorable card are 2

So, the probability is 2/52 or 1/26.

- Question 7 of 15
##### 7. Question

1 points**From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn**Correct**Explanation –**Total no. Of cards are 52Total no. Of face cards (favourable cards) are 16

So, probability is 16/52 or 4/13

Incorrect**Explanation –**Total no. Of cards are 52Total no. Of face cards (favourable cards) are 16

So, probability is 16/52 or 4/13

- Question 8 of 15
##### 8. Question

1 points**A bag contains 10 black and 20 white balls, one ball is drawn at random. What is the probability that the ball is white ?**Correct**Explanation –**Total balls are 10+20 = 30Total favourable balls are 20

So, the probability of white ball is 20/30

= 2/3.

Incorrect**Explanation –**Total balls are 10+20 = 30Total favourable balls are 20

So, the probability of white ball is 20/30

= 2/3.

- Question 9 of 15
##### 9. Question

1 points**In a lottery 10000 tickets are sold and 10 prizes are awarded. What is a probability of not getting a prize if you buy one ticket?**Correct**Explanation –**Total outcomes out of those 1 is yours = 10000C1 = 10000Favourable outcomes out of those 10 tickets one is yours 10C1 = 10

Hence, probability of winning is 10/10000

and probability of no winning is 1-10/10000

= 999/1000.

Incorrect**Explanation –**Total outcomes out of those 1 is yours = 10000C1 = 10000Favourable outcomes out of those 10 tickets one is yours 10C1 = 10

Hence, probability of winning is 10/10000

and probability of no winning is 1-10/10000

= 999/1000.

- Question 10 of 15
##### 10. Question

1 points**Two dice are tossed. The probability that the total score is a prime no. Is**Correct**Explanation –**Let (E) be the event of prime no.n (S) = 36

then n (E) = 15

P (E) = 15/36 I.e 5/12.

Incorrect**Explanation –**Let (E) be the event of prime no.n (S) = 36

then n (E) = 15

P (E) = 15/36 I.e 5/12.

- Question 11 of 15
##### 11. Question

1 points**A bag contains 4 white, 5 red and 6 blue balls. 3 balls are drawn at random from the bag. The probability that all of them are red is**Correct**Explanation –**Let S be the sample space then, 3 balls out 15 are picked up So,(15×14×13)/(3×2×1) = 455

Let (E) be the event of 3 red balls So,

n (E) = (5×4)/(2×1) = 10

P (E) = 10/455 = 2/91.

Incorrect**Explanation –**Let S be the sample space then, 3 balls out 15 are picked up So,(15×14×13)/(3×2×1) = 455

Let (E) be the event of 3 red balls So,

n (E) = (5×4)/(2×1) = 10

P (E) = 10/455 = 2/91.

- Question 12 of 15
##### 12. Question

1 points**3 unbiased coins are tossed. What is the probab of getting at most 2 heads?**Correct**Explanation –**Total no. Of situations are (TTT, TTH, THT, HTT, THH, HTH, HHT, HHH)= 8

favourable no. Are (TTT, TTH, THT, HTT, THH, HTH, HHT) = 7

So, p (E) = 7/8.

Incorrect**Explanation –**Total no. Of situations are (TTT, TTH, THT, HTT, THH, HTH, HHT, HHH)= 8

favourable no. Are (TTT, TTH, THT, HTT, THH, HTH, HHT) = 7

So, p (E) = 7/8.

- Question 13 of 15
##### 13. Question

1 points**Ticket numbers 1-20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a no. Which is a multiple of 3 or 5?**Correct**Explanation –**Here S, (1,2,3,…..19,20)Let (E) be the event of getting a multiple 3 or 5 = (3,6,9,12,15,18,5,10,20)

p (E) = 9/20.

Incorrect**Explanation –**Here S, (1,2,3,…..19,20)Let (E) be the event of getting a multiple 3 or 5 = (3,6,9,12,15,18,5,10,20)

p (E) = 9/20.

- Question 14 of 15
##### 14. Question

1 points**A bag contains 2 red balls , 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?**Correct**Explanation –**Total no. (2+3+2) = 7n (S) = (7×6)/(2×1) = 21

n (E) = (5×4)/(2×1) = 10

So, p (E) = 10/21.

Incorrect**Explanation –**Total no. (2+3+2) = 7n (S) = (7×6)/(2×1) = 21

n (E) = (5×4)/(2×1) = 10

So, p (E) = 10/21.

- Question 15 of 15
##### 15. Question

1 points**In a class there are 10 boys and 15 girls, 3 students are selected at random. The probability that 2 girls and 1 boy are selected is –**Correct**Explanation –**n (S) = (25×24×23)/(3×2×1) = 2300n (E) = 10× (15×14)/(2×1) = 1050

So, p (E) = 1050/2300

= 21/46.

Incorrect**Explanation –**n (S) = (25×24×23)/(3×2×1) = 2300n (E) = 10× (15×14)/(2×1) = 1050

So, p (E) = 1050/2300

= 21/46.