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Aptitude Probability
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Aptitude Probability
1
The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
A
21/25
B
17/25
C
4/25
D
8/25
2
A coin is tossed live times. What is the probability that there is at the least one tail?
A
231/32
B
1/16
C
1/2
D
None of these
3
If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is -.
A
1/25
B
1/2
C
4/13
D
1/10
4
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
A
1/2
B
16/19
C
4/5
D
17/20
5
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
A
1/4
B
1/2
C
3/4
D
3/5
6
If four coins are tossed, the probability of getting two heads and two tails is -.
A
3/8
B
6/11
C
2/5
D
4/5
7
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
A
19/52
B
17/52
C
5/13
D
4/13
8
If six persons sit in a row, then the probability that three particular persons are always together is -.
A
1/20
B
3/10
C
1/5
D
4/5
9
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
A
8/15
B
2/5
C
3/5
D
7/15
10
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -.
A
25/42
B
9/20
C
10/23
D
41/42
11
Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
A
1/216
B
1/36
C
5/9
D
5/12
12
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is -.
A
7/12
B
5/9
C
1/36
D
5/12
13
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is -.
A
7/12
B
5/9
C
1/36
D
5/12
14
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
A
5/9
B
5/12
C
1/36
D
7/12
15
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
A
62/63
B
125/126
C
1/63
D
1/126
16
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
A
6/63
B
2/63
C
125/126
D
1/126
17
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
A
20/31
B
20/63
C
5/31
D
6/31
18
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
A
17/91
B
33/91
C
51/91
D
65/91
19
. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A
1/455
B
2/455
C
1/91
D
4/455
20
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
A
3/22
B
4/21
C
2/21
D
1/14
21
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
A
23/35
B
29/35
C
47/70
D
43/70
22
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A
24/455
B
3/91
C
12/455
D
15/91
23
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A
4/9
B
5/9
C
7/9
D
8/9
24
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is -.
A
10/17
B
10/19
C
46/105
D
Cannot be determined
25
What is the probability that a leap year has 53 Sundays and 52 Mondays?
A
0
B
1/7
C
2/5
D
5/7
26
10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.
A
1/10
B
9/10
C
1/5
D
3/10
27
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.
A
0.4869
B
0.5904
C
0.6234
D
0.5834
28
In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
A
5/21
B
5/14
C
9/14
D
16/21
29
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
A
18/35
B
12/35
C
17/35
D
19/35
30
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
A
1/6
B
5/8
C
3/8
D
5/6
31
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -.
A
1/26
B
3/52
C
15/26
D
11/26
32
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
A
1/13
B
2/13
C
1/26
D
1/52
33
What are the chances that no two boys are sitting together for a photograph if there are 5 girls and 2 boys?
A
1/21
B
4/7
C
2/7
D
5/7
34
What is probability of drawing two clubs from a well shuffled pack of 52 cards?.
A
13/51
B
1/17
C
1/26
D
13/17
35
In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?
A
4/11
B
1
C
2/33
D
19/66
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