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Probability Aptitude Questions and Answers | MCQ Problems
| Quiz Name | Probability |
| Category | Aptitude |
| Number of Questions | 25 |
| Time | 30 Minutes |
| Exam Type | MCQ (Multiple Choice Questions) |
Probability Online Test – Practice Now
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1. 
a. 6/11
b. 8/15
c. 11/15
d. 7/15
e. 9/11
Answer: d
Explanation:
2. 
a. 7/38
b. 65/153
c. 61/153
d. 55/117
e. 42/119
Answer: b
Explanation:
3. 
a. 79/1326
b. 1/17
c. None of these
d. 69/221
e. 14/221
Answer: a
Explanation:
4. 
a. 53/104
b. 47/104
c. 63/104
d. 51/104
e. 59/104
Answer: a
Explanation:
5. 
• 2:9
• 3:7
• 4:5
• 1:9
• 1:10
Answer: e
Explanation:
P(Both of them will be selected) = P(A)P(B) = (1/7) × (1/5) = 1/35
P(only one of them will be selected) =
P(A and not B) or P(B and not A) = (1/7)(4/5) + (1/5)(6/7) = 2/7
Therefore required ratio = (1/35) : (2/7) = 1 : 10
6. Find the probability that a two-digit number, chosen at random, is a multiple of 4 & also a multiple of 6.
a. 8/15
b. 9/13
c. 7/14
d. 6/13
e. None of these
Answer: e
Explanation:
Number of two-digit numbers = 90 (from 10 to 99)
The number is divisible by both 4 and 6, i.e it is divisible by L.C.M of 4 and 6 which is 12.
The two-digit numbers divisible by 12 are 12, 24, 36, 48, 60, 72, 84 and 96. Thus, there are total of 8 such numbers.
Required Probability = 8/90 = 4/45
7. Determine the probability that a digit chosen at random from the digits 1, 2, 3, …12 will be odd.
a. 1/2
b. 1/9
c. 5/9
d. 4/9
e. None of these
Answer: a
Explanation:
Total no. of Digits = 12. Equally likely cases = 12.
There are six odd digits. Probability = 6 / 12 = 1 / 2
8. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
a. 1/10
b. 2/5
c. 2/7
d. 5/7
e. None of these
Answer: c
Explanation:
The probability of getting a prize in the lottery can be calculated as follows:
Total number of outcomes = number of prizes + number of blanks = 10 + 25 = 35
Number of favorable outcomes (i.e., getting a prize) = 10
Probability of getting a prize = number of favorable outcomes / total number of outcomes = 10/35 = 2/7
9. A box contains 5 white balls, 6 violet balls and 3 yellow balls. If 2 balls are drawn randomly, then the probability of getting both the balls are either white or violet balls?
a. 11/56
b. 23/72
c. 35/83
d. 25/91
e. None
Answer: d
Explanation:
10. A box contains 4 white, 6 green, 2 red and 5 yellow pens.
If 4 pens are picked at random, what is the probability that one of them is green, 2 are white and 1 is yellow?
a. 3/169
b. 1/13
c. 9/13
d. 9/169
e. None
Answer: e
Explanation:
Read probability p(E) = n(E)/n(S)
11. A bag contains 5 red, 6 blue and some yellow balls. Probability of drawing one red ball from the bag is 1/3. Three balls are drawn at random. Find the probability that all the balls are of same color?
a. 29/413
b. 34/455
c. 31/451
d. 37/453
e. None
Answer: b
Explanation:
Red = 5
Blue = 6
Let, yellow = n
Total number of balls = 5 + 6 + n = (11 + n)
According to the question
5/(11 + n) = 1/3
= > 15 = 11 + n
= > n = 15 – 11
= > n = 4
12. A man and his wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is (1/7) and the probability of wife’s selection is (1/5). What is the probability that only one of them is selected?
a. 2/7
b. 1/7
c. 3/4
d. 4/5
e. None
Answer: a
Explanation:
13. There are three identical boxes, A, B, and C. Box A contains 3 red balls and 2 blue balls. Box B contains 2 red and 5 blue balls and Box C contains 2 blue, 1 red and 1 white ball. One ball is drawn from one of the boxes at random.
Find the probability that it is red.
a. 53/70
b. 53/140
c. 3/70
d. 7/19
e. None
Answer: b
Explanation:
The ball is drawn from box A or Box B or Box C.
The probability that a ball drawn from Box A is red is 3/5.
The probability that a ball drawn from box B is red is 2/7
The probability that a ball drawn from box C is red is 1/4
Probability of selecting any one of the three boxes = 1/3
∴ Probability that the ball is red is
1/3(3/5+2/7+1/4)=53/140
Hence, option B is correct.
14. A box contains 3 apples and 2 Oranges. If two fruits are picked at random, then what is the probability that is at least one apple in the drawn fruits?
a. 9/10
b. 4/5
c. 7/10
d. 3/5
e. None
Answer: a
Explanation:
15. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
a. 3/13
b. 1/13
c. 3/52
d. 9/52
e. None
Answer: a
Explanation:
There are 52 cards, out of which there are 12 face cards.
P (getting a face card) = 12/52=3/13.
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Probability Aptitude MCQ Problems
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Probability Quiz Questions in Aptitude
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