12

Probability

Question 1
A number p is chosen at random from the numbers [-3, 3]. What is the probability that value of p < 2
A
3/7
B
5/7
C
4/7
D
1/7
Probability    
Discuss it


Question 1 Explanation: 
Favorable/Total = -ve numbers/total number
Question 2
A and B appeared for an exam. Let A is selected when even x happens and B is selected if the event y happens. The probability of event x is 1/7 and that of y is 2/9. Find the probability that both A and B got selected.
A
7/15
B
3/14
C
2/63
D
6/63
Probability    
Discuss it


Question 3
A box contains 6 black, 5 brown and 2 yellow balls. If 2 balls are selected at random, what is the probability that both are black?
A
4/23
B
5/26
C
7/26
D
8/15
Probability    
Discuss it


Question 4
4 dices are thrown simultaneously. What is the probability that all the dices show the same number.
A
1/216
B
1/36
C
4/216
D
4/36
Probability    
Discuss it


Question 5
An urn contains 12 red and 18 white marbles. Two marbles are drawn without replacement one after another. What is the probability that first is red and second is white?
A
16/145
B
9/32
C
36/145
D
5/32
Probability    
Discuss it


Question 6
What is the probability that a number selected from numbers [1,30] is prime number?
A
1/3
B
2/7
C
5/9
D
5/30
Probability    
Discuss it


Question 7
A bag contains 21 balls numbered 1 to 21. two balls are drawn one after another without replacement. Find the probability that both balls are even numbered.
A
3/14
B
2/3
C
6/9
D
1/8
Probability    
Discuss it


Question 8
A 5 digit number is formed by using digits 1, 2, 3, 4 and 5 with no two digits same. What is the probability that the formed number is divisible by 4?
A
1/5
B
4/5
C
3/5
D
1/4
Probability    
Discuss it


Question 9
A box having 5 black and 3 brown flags. Another box having 4 black and 6 brown flags. If one flag is drawn from each box. Find the probability that both flags are of different color.
A
21/40
B
10/19
C
3/8
D
3/10
Probability    
Discuss it


Question 10
Ram speaks truth in 3/4 of cases and Shyam in 4/5 of cases. In what percent of cases while narrating the same event are they likely to contradict each other?
A
35%
B
25%
C
20%
D
40%
Probability    
Discuss it


There are 16 questions to complete.
12

GATE CS Corner


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