Question # 1

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

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

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The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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1 / 2

1 / 3

1 / 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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The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

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

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Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

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

9. 8. 7. 6= ______

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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

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

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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

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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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!

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

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1/2

1/6

1/3

2

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n!

0!

1

None of these

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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

The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

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

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6

1

1/6

1/2

A key ring is an example of

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Permutation

Circular permutation

Combination

None

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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6

360

120

24

Probability of an impossible event is

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0

-1

1

∞

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

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

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