MET SERIES Mathematics
Probability
16 previous year questions.
Volume: 16 Ques
Yield: Medium
High-Yield Trend
1
2022 3
2020 2
2019 2
2016 2
2015 3
2014 2
2010 1
2008 Chapter Questions 16 MCQs
01
PYQ 2008
medium
mathematics ID: met-2008
The probability of getting a sum of 10 with two dice is:
1
1/12
2
1/9
3
1/6
4
5/36
02
PYQ 2010
medium
mathematics ID: met-2010
For two events A and B, and . Then
1
A and B are mutually exclusive
2
A and B are dependent
3
4
None of the above
03
PYQ 2010
medium
mathematics ID: met-2010
The least number of times a fair coin must be tossed so that the probability of getting at least one head is at least 0.8 is
1
7
2
6
3
5
4
3
04
PYQ 2014
medium
mathematics ID: met-2014
Out of 50 tickets numbered 00, 01, 02, …, 49, one ticket is drawn randomly. The probability that the ticket has the product of its digits 7, given that the sum of the digits is 8, is
1
2
3
4
None of these
05
PYQ 2014
medium
mathematics ID: met-2014
If the integers and are chosen at random between 1 and 100, then the probability that a number of the form is divisible by 5, equals
1
2
3
4
06
PYQ 2014
medium
mathematics ID: met-2014
One mapping (function) is selected at random from all the mappings of the set into itself. The probability that the mapping selected is one-one, is
1
2
3
4
None of the above
07
PYQ 2015
medium
mathematics ID: met-2015
Let and be two urns such that contains 3 white, 2 red balls and contains only 1 white ball. A fair coin is tossed. If head appears, then 1 ball is drawn at random from urn and put into . However, if tail appears, then 2 balls are drawn at random from and put into . Now, 1 ball is drawn at random from . Then, probability of the drawn ball from being white is
1
2
3
4
08
PYQ 2015
medium
mathematics ID: met-2015
If is continuous at , then is equal to:
1
0
2
3
4
09
PYQ 2016
medium
mathematics ID: met-2016
Let and be two events such that , and , where stands for the complement of event . Then, the events and are:
1
mutually exclusive and independent
2
independent but not equally likely
3
equally likely but not independent
4
equally likely and mutually exclusive
10
PYQ 2016
medium
mathematics ID: met-2016
Fifteen coupons are numbered 1, 2, …, 15, respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9, is
1
2
3
4
None of these
11
PYQ 2019
medium
mathematics ID: met-2019
If follows a binomial distribution with parameters and , then is maximum when equals
1
16
2
32
3
33
4
None of these
12
PYQ 2019
medium
mathematics ID: met-2019
One mapping (function) is selected at random from all the mappings of the set into itself. The probability that the mapping selected is one-one, is
1
2
3
4
None of these
13
PYQ 2020
medium
mathematics ID: met-2020
If things are distributed among men and women, then the chance that the number of things received by men is odd is:
1
2
3
4
None of these
14
PYQ 2020
medium
mathematics ID: met-2020
Probability of getting sum 7 or 9 when two dice are thrown is:
1
2
3
4
None of these
15
PYQ 2020
medium
mathematics ID: met-2020
A die is rolled three times. The probability of getting a larger number than the previous number is
1
2
3
4
16
PYQ 2022
medium
mathematics ID: met-2022
If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is , then is equal to ___.