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CSS - PMS - CCE - PCS - Mathematics Practice

Probability MCQs

Practice important Probability MCQs with answers, explanations, theory links, and exam-focused preparation.

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Probability MCQs With Answers

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CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 6 red and 4 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 3/5
B. 1/10
C. 2/5
D. 3/2
Correct Answer: A
Probability = favourable/total = 6/10 = 3/5.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 8 red and 10 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 5/9
B. 4/9
C. 1/18
D. 4/5
Correct Answer: B
Probability = favourable/total = 8/18 = 4/9.
CSS - PMS - CCE - PCS - Mathematics Probability
One integer is selected at random from 1 to 27. What is the probability that it is divisible by 4?
A. 4/27
B. 1/4
C. 7/9
D. 2/9
Correct Answer: D
There are 6 multiples of 4 from 1 to 27; probability = 6/27 = 2/9.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 2 red and 7 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 1/9
B. 2/9
C. 7/9
D. 2/7
Correct Answer: B
Probability = favourable/total = 2/9 = 2/9.
CSS - PMS - CCE - PCS - Mathematics Probability
One integer is selected at random from 1 to 21. What is the probability that it is divisible by 3?
A. 1/3
B. 2/3
C. 1/3-1
D. 1/7
Correct Answer: A
There are 7 multiples of 3 from 1 to 21; probability = 7/21 = 1/3.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 4 red and 4 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 1/8
B. 1/2
C. 1/2-1
D. 1
Correct Answer: B
Probability = favourable/total = 4/8 = 1/2.
CSS - PMS - CCE - PCS - Mathematics Probability
One integer is selected at random from 1 to 15. What is the probability that it is divisible by 2?
A. 8/15
B. 2/15
C. 1/2
D. 7/15
Correct Answer: D
There are 7 multiples of 2 from 1 to 15; probability = 7/15 = 7/15.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 6 red and 10 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 3/5
B. 5/8
C. 1/16
D. 3/8
Correct Answer: D
Probability = favourable/total = 6/16 = 3/8.
CSS - PMS - CCE - PCS - Mathematics Probability
One integer is selected at random from 1 to 29. What is the probability that it is divisible by 6?
A. 6/29
B. 4/29
C. 25/29
D. 1/6
Correct Answer: B
There are 4 multiples of 6 from 1 to 29; probability = 4/29 = 4/29.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 8 red and 7 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 8/7
B. 7/15
C. 1/15
D. 8/15
Correct Answer: D
Probability = favourable/total = 8/15 = 8/15.
CSS - PMS - CCE - PCS - Mathematics Probability
A box contains 13 equally likely numbered tokens, of which 12 are marked as winning. What is the probability of selecting a winning token?
A. 1/13
B. 12/13-1
C. 12/13
D. 1
Correct Answer: C
Probability = 12/13 = 12/13.
CSS - PMS - CCE - PCS - Mathematics Probability
One integer is selected at random from 1 to 23. What is the probability that it is divisible by 5?
A. 4/23
B. 5/23
C. 1/5
D. 19/23
Correct Answer: A
There are 4 multiples of 5 from 1 to 23; probability = 4/23 = 4/23.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 2 red and 4 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 1/3
B. 1/6
C. 2/3
D. 1/2
Correct Answer: A
Probability = favourable/total = 2/6 = 1/3.
CSS - PMS - CCE - PCS - Mathematics Probability
One integer is selected at random from 1 to 17. What is the probability that it is divisible by 4?
A. 4/17
B. 13/17
C. 4/17-1
D. 1/4
Correct Answer: A
There are 4 multiples of 4 from 1 to 17; probability = 4/17 = 4/17.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 4 red and 10 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 2/7
B. 5/7
C. 1/14
D. 2/5
Correct Answer: A
Probability = favourable/total = 4/14 = 2/7.
CSS - PMS - CCE - PCS - Mathematics Probability
One integer is selected at random from 1 to 11. What is the probability that it is divisible by 3?
A. 3/11
B. 1/3
C. 8/11
D. 3/11-1
Correct Answer: A
There are 3 multiples of 3 from 1 to 11; probability = 3/11 = 3/11.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 6 red and 7 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 6/13
B. 6/7
C. 1/13
D. 7/13
Correct Answer: A
Probability = favourable/total = 6/13 = 6/13.
CSS - PMS - CCE - PCS - Mathematics Probability
A box contains 13 equally likely numbered tokens, of which 6 are marked as winning. What is the probability of selecting a winning token?
A. 1/13
B. 6/13
C. 7/13
D. 1/2
Correct Answer: B
Probability = 6/13 = 6/13.
CSS - PMS - CCE - PCS - Mathematics Probability
One integer is selected at random from 1 to 25. What is the probability that it is divisible by 2?
A. 2/25
B. 13/25
C. 12/25
D. 1/2
Correct Answer: C
There are 12 multiples of 2 from 1 to 25; probability = 12/25 = 12/25.
CSS - PMS - CCE - PCS - Mathematics Probability
A bag has 8 red and 4 blue balls. One ball is drawn at random. What is the probability of drawing a red ball?
A. 2/3
B. 2
C. 1/3
D. 1/12
Correct Answer: A
Probability = favourable/total = 8/12 = 2/3.
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