Question # 1

A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

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1/6

1/3

1/2

2/3

Probability of an impossible event is

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0

-1

1

∞

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

8 . 7 . 6. 5 in factorial form is

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probability of a certain event is

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0

-1

1

∞

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All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

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NAAGI

NAAIG

IAANG

INAGA

9. 8. 7. 6= ______

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The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

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0

20

90

80

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

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5

20

9

4

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

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The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is

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1/5

2/5

1/10

3/10

In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics.

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40

30

50

60

In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

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8

1/56

56

None of these

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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The sum of all even numbers less than 100 is

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2450

2352

2272

2468

If S is a sample space and event set E = S then P(E) is

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>0

1

<1

0

If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is

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1 / 66

3 / 66

19 / 66

47 / 66

The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is

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1 / 4

1 / 2

3 / 4

25 / 98

The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

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ECAT Mathematics Chapter 9 Permutation, Combination and Probability Online Test MCQs With Answers

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