Question # 1

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

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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The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

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 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

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

Number of selections of n different things out of n

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1

nPr

n!

nPr

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) in factorial form is

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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

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

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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

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

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

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

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0.9

0.74

0.2016

None of these

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6

360

120

24

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1.5

1.2

8

None of these

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

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5

10

20

30

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

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

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

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