Question # 1

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Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is

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2 / 19

3 / 29

17 / 19

4 / 19

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

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5

20

9

4

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n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

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1 / 2

1 / 3

1 / 4

None of these

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0.9

0.74

0.2016

None of these

There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

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10

66

71

106

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

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How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108

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8

6

7

36

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5

10

20

30

An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

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

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How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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0

-1

1

2

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages

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45

30

25

50

If n is a negative integer n! is

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1

0

Unique

Not defined

The number of words that can be formed out of the letters of the word ASSASSINATION is

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

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>0

1

<1

0

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

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

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120

5

4

6

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n!

0!

1

None of these

Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

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 sum of all even numbers less than 100 is

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2450

2352

2272

2468

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ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test MCQs With Answers

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