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JEE Questions for Maths Probability Quiz 9 - MCQExams.com
JEE
Maths
Probability
Quiz 9
A box contains 9 tickets numbered 1 to 9 inclusive. If 3 tickets are drawn from the box one at a time, the probability that they are alternatively i.e., either {odd, even, odd} or {even, odd, even}, is
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0%
2)
0%
0%
If four persons are chosen at random from a group of 3 men, 2 women and 4 children. Then the probability that exactly two of them are children, is
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0%
0%
2)
0%
0%
A box contains 25 tickets numbered 1, 2, …,25. If two tickets are drawn at random then the probability that the product of their numbers is even, is
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0%
0%
2)
0%
0%
None of these
From a class of 12 girls and 18 boys, two students are chosen randomly. What is the probability that both of them are girls
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0%
0%
2)
0%
0%
None of these
A word consists of 11 letters in which there are 7 consonants and 4 vowels. If 2 letters are chosen at random, then the probability that all of them are consonants is
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0%
2)
0%
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None of these
Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is
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Out of 3n consecutive natural numbers, 3 natural numbers are chosen at random without replacement. The probability that the sum of the chosen numbers is divisible by 3 is
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2)
0%
0%
Fifteen persons among whom are A and B, sit down at random at a round table. The probability that there are 4 persons between A and B is
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2)
0%
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Suppose n ≥ 3 persons are sitting in a row. Two of them are selected at random. The probability that they are not together is
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2)
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None of these
A bag contains 6 red, 4 white and 8 blue balls. If three balls are drawn at random, then the probability that 2 are white and 1 is red is
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2)
0%
0%
A committee of five is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all, is
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The letter of the word ‘ASSASSIN’ are written down at random in a row. The probability that no two S occur together is
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2)
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None of these
The probability of getting 4 heads in 8 throws of a coin, is
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In a lottery 50 tickets are sold in which 14 are of prize. A man bought 2 tickets, then the probability that the man win the prize is
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2)
0%
0%
A bag contains 8 black and 7 white balls. Two balls are drawn at random. Then for which the probability is more
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0%
Both balls are white
0%
One ball is white and one is black
0%
Both balls are black
0%
All of the above are equals
A committee has to be made of 5 members from 6 men and 4 women. The probability that at least one woman is present in committee is
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2)
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A three digit number is formed by using numbers 1, 2, 3 and 4. The probability that the number is divisible by 3, is
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2)
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From a pack of playing cards three cards are drawn simultaneously. The probability that these are one king, one queen and one jack is
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2)
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0%
Word ‘UNIVERSITY’ is a arranged randomly. Then the probability that both ‘I’ does not come together is
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2)
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There are n different object 1, 2, 3, …,n distributed at random in n places marked 1, 2, 3,…,n. The probability that at least three of the objects occupy places corresponding to their number is
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2)
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None of these
An ordinary cube has four blank faces, one face marked 2 another marked 3. Then the probability of obtaining a total of exactly 12 in 5 throws is
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None of these
0%
0%
2)
0%
Two persons each makes a single throw with a die. The probability they get equal value is p
1
. Four persons each make a single throw and probability of three being equal is p
2
, then
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0%
2)
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0%
None of these
n cadets have to stand in a row. If all possible permutations are equally likely, then the probability that two particular cadets stand by side, is
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2)
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None of these
A bag contains tickets numbered from 1 and 20. Two tickets are drawn. The probability that both the numbers are prime is
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2)
0%
0%
None of these
A bag contains 6 red, 5 white balls. Two balls are drawn. The probability that none of them is red, is
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0%
2)
0%
0%
None of these
A bag contains 3 white and 5 black balls. If one ball is drawn, then the probability that is black is
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0%
2)
0%
0%
Three of the six vertices of a regular hexagon are chosen at random. The probability the triangle with these three vertices is equilateral, is equal to
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2)
0%
0%
Three mangoes and three apples in a box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple is
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0%
0%
2)
0%
0%
None of these
There are 5 volumes of Mathematics among 25 books. They are arranged on a shelf in random order. The probability that the volumes mathematics stand in increasing order from left to right (the volumes are not necessarily kept side by side) is
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0%
0%
2)
0%
0%
None of these
A cricket team ah 15 members, of whom only 5 can bowl. If the names of the 15 members are put into a hat and 11 drawn at random, then the chance of obtaining an eleven containing at least 3 bowlers is
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0%
0%
2)
0%
0%
None of these
A bag has 13 red, 14 green and 15 black balls. The probability of getting exactly 2 blacks on pulling out 4 balls is p
1
. Now the number of each colour ball is doubles and 8 balls are pulled out. The probability of getting exactly 4 blacks is p
2
. Then
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0%
2)
0%
0%
None of these
If m rupee coins and n ten paise coins are placed in a line, then the probability that the extreme coins are ten paise coins is
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0%
2)
0%
0%
A mapping is selected at random from the set A = {1, 2,…,n} into itself. The probability that the mapping selected is an injection is
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0%
2)
0%
0%
A lot consists of 12 good pencils, 6 with minor defects and 2 with major defects. A pencil is chosen at random. The probability that this pencil is not defective is
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2)
0%
0%
A box contains 10 mangoes out of which 4 are rotten. 2 mangoes are taken out together. If one of them is found to be good, the probability that the other is also good is
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0%
2)
0%
0%
Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a woman is
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0%
2)
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0%
Two numbers a and b are chosen at random from the set of first 30 natural numbers. The probability that a
2
– b
2
is divisible by 3 is
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0%
0%
2)
0%
0%
Two friends A and B have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of A and B. The probability that all the tickets go to daughter of A is 1/20. The number of daughters each of them have is
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0%
4
0%
5
0%
6
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3
Dialing a telephone number an old man forgets the last two digits remembering only that these are different dialed at random. The probability that the number is dialed correctly is
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2)
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None of these
Let A and B be two finite sets having m and n elements respectively such that m ≤ n. A mapping is selected at random from the set of all mappings from A to B. The probability that the mapping selected is an injection is
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2)
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There are 5 letters and 5 addressed envelopes. If the letters are placed at random, the probability that exactly 3 letters are placed in right envelope is
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2)
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From a group of 7 men and 14 ladies a committee of 6 persons is formed, then the probability that the committed contains 2 ladies is
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2)
0%
0%
A bag contains 4 white and 3 red balls. Two draws of one ball each are made without replacement. Then the probability that both the balls are red is
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2)
0%
0%
A bag contains 5 white, 7 black and 4 red balls. Three balls are drawn from the bag at random. The probability that all the three balls are white, is
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2)
0%
0%
A basket contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges
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The probability that the three cards drawn from a pack of 52 cards are all red is
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A committee consists of 9 experts taken from three institutions A, B and C of which 2 are from A, 3 from B and 4 from C. If three experts resign, then the probability that they belong to different institutions is
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0%
Two numbers are selected are selected at random from 1, 2, 3,…100 and are multiplied, then the probability correct to two places of decimals that the product thus obtained is divisible by 3 is
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0.55
0%
0.44
0%
0.22
0%
0.33
Five digits numbers are formed using the digits 1, 2, 3, 4, 5, 6 and 8. What is the probability that have even digits at both the ends
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0%
2)
0%
0%
None of these
A bag contains 3 red, 4 white and 5 black balls. Three balls are drawn at random. The probability of being their different colours is
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0%
0%
2)
0%
0%
None of these
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