Question # 1

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

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

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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

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

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!

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8

1/56

56

None of these

A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is

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1 / 3

8 / 15

5 / 13

5 / 9

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

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nPn

nPr

nCr

2n

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

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How many arrangements of the letters of the word PAKISTAN cab be made

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The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

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

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>0

1

<1

0

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56

7

8

8/7

6! = ______

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360

720

6.5.4

None of these

(n + 2) (n + 1)n in factorial form is

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A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

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

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

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

8 . 7 . 6. 5 in factorial form is

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5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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5

20

9

4

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

A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

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1 / 500

1 / 504

1 / 252

1 / 250

n!/(n-1)!=

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n

n!

(n-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

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

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