Question # 1

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

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

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

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>0

1

<1

0

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3

6

0

None of these

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Probability of an impossible event is

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0

-1

1

∞

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0

-1

1

2

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

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Number of ways of writing the letters of WORD taken all at a time is

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24

4

12

6

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

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n!

0!

1

None of these

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

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9028

9208

9802

9820

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8

1/56

56

None of these

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

n(n - 1) (n - 2) .... (n - r + 1) = ______

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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 numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

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1/4

1/3

1/2

1/6

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5

20

9

4

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0.9

0.74

0.2016

None of these

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

How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

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Three dice are thrown together. The probability of getting a total of at least 6 is

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103 / 108

10 / 216

93 / 108

None of these

How many arrangements of the letters of the word ADDING can be made

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For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

0! = ______

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0

1

2

Not defined

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

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