1851. 5C5 is equal to ________________?
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A. 5

B. 1

C. 55

D. None of these

1852. If P(A?B) =1/4 then P(AUB) is ________________?
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A. 2-Jan

B. 1/3

C. 12-Jan

D. 8-Mar

1853. Two event are said to be equally likely is ______________?
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A. As any other

B. both event occurs

C. One occurs

D. not both occurs

1854. If two events can both occur at the same time then they are referred as:__________________?
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A. Mutually Exclusive events

B. Dependent events

C. Exclusive events

D. Independent events

1855. if you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7 ?
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A. 13/36

B. 21/36

C. 15/36

D. Apr-36

1856. A experiment repeated number of time one by one is called _________________?
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A. Random

B. Specified

C. Raw data

D. Introduce

1857. The probability of getting at least one head when two balance coins are tossed once __________________?
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A. 4-Apr

B. 4-Feb

C. 3/4

D. 4-Jan

1858. In special rule of addition of probability, the events are Always:_______________?
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A. Bayesian

B. Empirical

C. Mutually Exclusive events

D. Independent events

1859. The product of first n natural numbers is _____________?
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A. None of these

B. n. (n-1) (n-2)..3.2.1.0

C. 1.2.3(n-2) (n-1) (n)

D. 1.2.3.4,

1860. The probability of drawing same number on two dice if two dice are thrown _________________?
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A. Jan-36

B. Dec-36

C. Jun-36

D. 18/36

1861. Events occurring together without affecting each other are called:_________________?
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A. Independent events

B. Equally likely events

C. Mutually Exclusive events

D. Dependent events

1862. If A denotes the males of a town and B denotes the females of that town, then A and B are:___________?
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A. None of these

B. Non- overlapping sets

C. Over lapping sets

D. Equal sets

1863. If the events have same chance of occurrence they are called:_______________?
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A. Equally likely events

B. Mutually Exhaustive events

C. dependent events

D. Exhaustive events

1864. The collection of one or more outcomes from an experiment is called:__________________?
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A. Random Experiment

B. Z-Value

C. Event

D. Probability

E. Random Variable

1865. A listing of the possible outcomes of an experiment and their corresponding probability is called:______________?
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A. Contingency table

B. Probability distribution

C. Bayesian table

D. Random Variable

E. Frequency distribution

1866. The probability of an event cannot be _____________?
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A. None of these

B. Positive

C. Negative

D. Zero

1867. The probability of getting exactly two heads when two balanced coins are toss once_________________?
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A. 4-Feb

B. 4-Apr

C. 4-Mar

D. 1/4
1868. A subset of the sample space is called _________________?
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A. Event

B. Space

C. Sample point

D. Set

1869. Two mutually exclusive events are __________?
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A. Dependent

B. Independent

C. Overlapped

D. None of These

1870. In a Poisson probability distribution __________________?
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A. The probability of success is always greater than 5

B. The number of trials is always less than 5

C. it always contains a contingency table

D. The mean and variance of the distribution are same (equal)
1871. A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
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A. 20

B. 54

C. 42

D. 60

1872. Groups each containing 3 boys are to be formed out of 5 boys. A, B, C, D and E such that no group can contain both C and D together. What is the maximum number of such different groups?
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A. 6

B. 8

C. 7

D. 5

1873. How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}
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A. 120

B. 60

C. 360

D. 240

1874. The number of new words that can be formed by rearranging the letters of the word ALIVE is__________?
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A. 119

B. 23

C. 24

D. 120

1875. A person ordered 5 pairs of black socks and some pairs of brown socks. The price of a black pair was thrice that of a brown pair while preparing the bill the bill clerk inter-changed the number of black and brown pairs by mistake which increased the bill by 100% what was the number of pair of brown socks in the original order?
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A. 20

B. 15

C. 25

D. 10

1876. A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
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A. 15

B. 63

C. 1023

D. 511

1877. A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
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A. 108

B. 12

C. 21

D. 9

1878. In how many different ways can the letters of the word MATHEMATICS be arranged so that the vowels always come together?
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A. 10080

B. 4989600

C. 120960

D. None of these

1879. How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
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A. 60

B. 300

C. 360

D. 180

1880. A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?
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A. 30

B. 11

C. 14

D. 20

1881. A mixed doubles tennis game is to be played two teams(each consists of one male and one female) There are four married couples. No team is to consist a husband and his wife. What is the maximum number of games that can be played?
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A. 12

B. 42

C. 36

D. 48

1882. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?
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A. C??

B. C? + ?C?

C. C?? 1

D. C?? + 1

1883. Three flags each of different colours are available for a military exercise, Using these flags different codes can be generated by waving <br> I. Single flag of different colours <br> II. Any two flags in a different sequence of colours. <br> III. three flags in a different sequence of colours. <br> The maximum number of codes that can be generated is.
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A. 15

B. 6

C. 18

D. 9

1884. Find the number of ways of arranging the letters of the word MATERIAL such that all the vowels in the word are to come together?
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A. 2160

B. 1860

C. 720

D. 1440
1885. There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutive cells?
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A. 30

B. 18

C. 15

D. 24
1886. Twelve people from a club, by picking lots. One of them will host a dinner for all once in a month. The number of dinners a particular member has to host in one year is________?
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A. Three

B. Cannot be determined

C. Zero

D. One

1887. In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
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A. 400

B. 600

C. 500

D. 20

1888. What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
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A. 60

B. 20

C. 100

D. 30
1889. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
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A. C? * ?C?

B. C? * 10

C. C? * 10

D. 12 * ?C?

1890. A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is___________?
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A. 12

B. 4

C. 18

D. None of these
1891. Three dice (each having six faces with each face having one number from 1 or 6) are ralled. What is the number of possible outcomes such that atleast one dice shows the number 2?
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A. 81

B. 36

C. 116

D. 91
1892. Using all the letters of the word THURSDAY, how many different words can be formed?
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A. 7

B. 7!

C. 8

D. 8!
1893. A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
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A. 185

B. 165

C. 205

D. 225

1894. Using all the letters of the word NOKIA, how many words can be formed, which begin with N and end with A?
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A. 120

B. 24

C. 3

D. 6
1895. The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.
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A. 2160

B. 5300

C. 4000

D. 4320
1896. Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?
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A. 32

B. 29

C. 55

D. 30

1897. In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?
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A. 2160

B. 120

C. 4320

D. 720
1898. A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
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A. 750

B. 450

C. 300

D. 600
1899. A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
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A. 300

B. 150

C. 200

D. 250

1900. In how many different ways can four books A, B, C and D be arranged one above another in a vertical order such that the books A and B are never in continuous position?
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A. 9

B. 14

C. 12

D. 18