Question # 1

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

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>0

1

<1

0

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

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0.9

0.74

0.2016

None of these

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

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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

Arithmetic mean between 14 and 18 is

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16

17

15

32

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

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

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There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

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

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

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1/2

1/6

1/3

2

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

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

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>0

1

<1

0

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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

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

Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is

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3 / 17

5 / 17

7 / 17

9 / 17

Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is

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0.28

0.13

0.12

0.42

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

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

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5

10

20

30

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

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A sequence is a function whose domain is

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N

Subset of N

R

None of these

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

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

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

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