Question # 1

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

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

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5

20

9

4

(n + 2) (n + 1) n= ______

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The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

In 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

20

A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is

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2 / 13

4 / 13

5 / 13

8 / 13

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

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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8

1/56

56

None of these

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

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

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Arithmetic mean between 14 and 18 is

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16

17

15

32

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56

7

8

8/7

6! = ______

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360

720

6.5.4

None of these

The sum if 1,3,5,7,9........ up to 20 terms is

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400

472

563

264

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1 / 2

1 / 3

1 / 4

None of these

A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

probability of a certain event is

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0

-1

1

∞

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5

10

20

30

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

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

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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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120

5

4

6

If A and B are two disjoint events then

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P(A∪B)=P(A)+P(B)

P(A∪B)=P(A)-P(A∪B)

P(A∪B)=P(A)or P(B)

None

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

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

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

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

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

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

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

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