1. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
A: 1/22
B: 3/22
C: 2/91
D: 2/77
Correct Answer : C
2. A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is:
A: 4/19
B: 7/19
C: 12/19
D: 21/95
Correct Answer : B
3. In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi ?
A: 2/5
B: 3/4
C: 3/5
D: 3/10
Correct Answer : A
4. A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. The probability that the red ball being selected is the smallest red ball, is
A: 1/18
B: 1/3
C: 1/6
D: 2/3
Correct Answer : C
5. If A and B are 2 independent events and P(A)=0.5 and P(B) = 0.4, find P(A/B):
A: 0.5
B: 0.4
C: 0.88
D: None of these
Correct Answer : A
6. A 5-digit number is formed by the digits 1,2,3,4 and 5 without repetition. What is the probability that the number formed is a multiple of 4?
A: 1/4
B: 1/5
C: 2/5
D: 1/120
Correct Answer : B
7. In a single throw of dice, what is the probability to get a number greater or equal to 4?
A: 1/3
B: 2/3
C: 1/2
D: None of these
Correct Answer : C
8. A bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a banana or an apple. He draws a fruit from the bag randomly. What is the probability that he will get a fruit of his choice?
A: 3.5/12
B: 7/12
C: 5/12
D: None of these
Correct Answer : B
9. There are two boxes A and B. Box A has three red and four blue balls. Box B has five red and two blue balls. Anya draws a ball from each bag randomly. What is the probability that both balls are red?
A: 4/7
B: 8/49
C: 7/8
D: 15/49
Correct Answer : D
10. Ravi has a bag full of 10 Nestle and 5 Cadbury chocolates. He draws two chocolates. What is the probability that he got at least one Nestle chocolate?
A: 2/3
B: 3/7
C: 2/21
D: None of these
Correct Answer : D
11. The probability of having at least one tail in 5 throws of a coin is
A: 1/32
B: 31/32
C: 1/5
D: None of these
Correct Answer : B
12. A bag contains 5 yellow and 4 brown pencils. If two pencils are drawn, what is the probability that the pencils are of the same colour?
A: 5/108
B: 1/6
C: 5/18
D: 4/9
Correct Answer : D
13. A single letter is drawn at random from the word, “ASPIRATION”, the probability that it is a vowel is?
A: 1/2
B: 1/3
C: 3/5
D: 2/5
Correct Answer : A
14. The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least three times is:
A: 291/364
B: 371/464
C: 471/502
D: 459/512
Correct Answer : D
15. An unbiased dice is rolled 3 times. The probability that the value on the dice is not more than 4 in any of the 3 rolls is:
A: 8/27
B: 1/27
C: 26/27
D: 2/3
Correct Answer : A
16. Probability of occurrence of event A is 0.5 and that of event B is 0.2. The probability of occurrence of both A and B is 0.1. What is the probability that none of A and B occur?
A: 0.3
B: 0.4
C: 0.7
D: None of these
Correct Answer : B
17. An unbiased coin is tossed 5 times. If tail appears on first four tosses, then probability of tail appearing on the fifth toss is:
A: 1/2
B: 1
C: 0
D: 4/5
Correct Answer : A
18. X and Y are two independent events. The probability that X and Y occur is 1/12, and the probability that neither occur is 1/2, the probability of occurrence of X can be:
A: 1/3
B: 1/5
C: 1/2
D: 1/10
Correct Answer : A
A: 1/22
B: 3/22
C: 2/91
D: 2/77
Correct Answer : C
2. A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective, is:
A: 4/19
B: 7/19
C: 12/19
D: 21/95
Correct Answer : B
3. In a class, 30% of the students offered English, 20% offered Hindi and 10% offered both. If a student is selected at random, what is the probability that he has offered English or Hindi ?
A: 2/5
B: 3/4
C: 3/5
D: 3/10
Correct Answer : A
4. A box contains 6 red balls, 7 green balls and 5 blue balls. Each ball is of a different size. The probability that the red ball being selected is the smallest red ball, is
A: 1/18
B: 1/3
C: 1/6
D: 2/3
Correct Answer : C
5. If A and B are 2 independent events and P(A)=0.5 and P(B) = 0.4, find P(A/B):
A: 0.5
B: 0.4
C: 0.88
D: None of these
Correct Answer : A
6. A 5-digit number is formed by the digits 1,2,3,4 and 5 without repetition. What is the probability that the number formed is a multiple of 4?
A: 1/4
B: 1/5
C: 2/5
D: 1/120
Correct Answer : B
7. In a single throw of dice, what is the probability to get a number greater or equal to 4?
A: 1/3
B: 2/3
C: 1/2
D: None of these
Correct Answer : C
8. A bag contains 5 oranges, 4 bananas and 3 apples. Rohit wants to eat a banana or an apple. He draws a fruit from the bag randomly. What is the probability that he will get a fruit of his choice?
A: 3.5/12
B: 7/12
C: 5/12
D: None of these
Correct Answer : B
9. There are two boxes A and B. Box A has three red and four blue balls. Box B has five red and two blue balls. Anya draws a ball from each bag randomly. What is the probability that both balls are red?
A: 4/7
B: 8/49
C: 7/8
D: 15/49
Correct Answer : D
10. Ravi has a bag full of 10 Nestle and 5 Cadbury chocolates. He draws two chocolates. What is the probability that he got at least one Nestle chocolate?
A: 2/3
B: 3/7
C: 2/21
D: None of these
Correct Answer : D
11. The probability of having at least one tail in 5 throws of a coin is
A: 1/32
B: 31/32
C: 1/5
D: None of these
Correct Answer : B
12. A bag contains 5 yellow and 4 brown pencils. If two pencils are drawn, what is the probability that the pencils are of the same colour?
A: 5/108
B: 1/6
C: 5/18
D: 4/9
Correct Answer : D
13. A single letter is drawn at random from the word, “ASPIRATION”, the probability that it is a vowel is?
A: 1/2
B: 1/3
C: 3/5
D: 2/5
Correct Answer : A
14. The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least three times is:
A: 291/364
B: 371/464
C: 471/502
D: 459/512
Correct Answer : D
15. An unbiased dice is rolled 3 times. The probability that the value on the dice is not more than 4 in any of the 3 rolls is:
A: 8/27
B: 1/27
C: 26/27
D: 2/3
Correct Answer : A
16. Probability of occurrence of event A is 0.5 and that of event B is 0.2. The probability of occurrence of both A and B is 0.1. What is the probability that none of A and B occur?
A: 0.3
B: 0.4
C: 0.7
D: None of these
Correct Answer : B
17. An unbiased coin is tossed 5 times. If tail appears on first four tosses, then probability of tail appearing on the fifth toss is:
A: 1/2
B: 1
C: 0
D: 4/5
Correct Answer : A
18. X and Y are two independent events. The probability that X and Y occur is 1/12, and the probability that neither occur is 1/2, the probability of occurrence of X can be:
A: 1/3
B: 1/5
C: 1/2
D: 1/10
Correct Answer : A