The following table gives the distribution of IQ (intelligence q

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 Multiple Choice QuestionsMultiple Choice Questions

61.  If P(E) is the probability of an event E, then
  • 0 ≤ P(E) ≤1
  • 0 < P(E) < 1
  • 0 ≤ P(E) < 1
  • 0 ≤ P(E) < 1
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62.

A coin is tossed 100 times with the following frequencies:

Head : 75, Tail: 25

Find the probability of getting a head.

  •  1 fourth

  • 1 half
  • 3 over 4
  • 3 over 4
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63.

A dice is thrown 100 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the following table:

Outcome

Frequency

1

10

2

20

3

10

4

20

5

25

6

15

Find the probability of outcome 1

  • 1 over 10
  • 1 fifth
  • 1 fourth
  • 1 fourth
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64.

Two coins are tossed simultaneously 1000 times, and we get
Two heads: 200 times
One head: 600 times
No head: 200 times
Find the probability of getting two heads.

  • 1 fourth
  • 1 fifth
  • 1 half
  • 1 half
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65.

Three coins one tossed simultaneously 600 times with the following frequencies of different outcomes:

Outcome

Frequency

3 heads

150

2 heads

200

1 head

100

no head

150

The probability of getting 3 heads is

  • 1 half
  • 1 third
  • 1 fourth
  • 1 fourth
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66.

Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:

0 1 2 2 1 2
3 1 3 0 1 3
1 1 2 2 0 1
2 1 3 0 0 1
1 2 3 2 2 0

Find the probability of getting no head.

  • 1 fifth
  • 1 third
  • 1 fourth
  • 1 fourth
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67.

The following table shows the birth day of 30 students of class X:

Day

Number of students

Sunday

3

Monday

6

Tuesday

2

Wednesday

1

Thursday

9

Friday

5

Saturday

4

Find the probability that a student was bom on Saturday.

  • 2 over 15
  • 1 over 6
  • 1 third
  • 1 third
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68.

The following table gives the distribution of IQ (intelligence quotient) of 60 pupils of class IX in a school:

IQ

No. of pupils

60–70

2

70–80

3

80-90

5

90-100

16

100–110

14

110-120

13

120-130

7

Find the probability that a student of class IX selected at random has IQ in the interval 80-90.

  • 1 over 12
  • 1 over 8
  • 1 over 10
  • 1 over 10


A.

1 over 12
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69.

The following table depicts the scores of 200 students in a test:

Scores

Number of students

400-450

15

450-500

30

500-550

35

550-600

30

600-650

25

650-700

25

700-750

20

750-800

20

Find the probability that a student selected at random has his score in the interval 650-700.

  • 1 fourth
  • 1 half
  • 1 over 8
  • 1 over 8
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70.

Following are the marks of a group of 100 students in a test of reading ability:

Marks

Number of students

50–52

5

47-49

12

44–46

16

41-43

19

38-40

20

35-37

15

32-34

15

Find the probability that a student selected at random gets marks in the interval 38–40.

  • 1 half
  • 1 third
  • 1 fourth
  • 1 fourth
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