#### Probability Model Question Paper

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
11 x 1 = 11
1. A number between 0 and 1 that is used to measure uncertainty is called

(a)

Random variable

(b)

Trial

(c)

Simple event

(d)

Probability

2. Probability lies between

(a)

−1 and +1

(b)

0 and 1

(c)

0 and n

(d)

0 and $\infty$

3. The probability based on the concept of relative frequency theory is called

(a)

Empirical probability

(b)

Classical probability

(c)

Both (1) and (2)

(d)

Neither (1) nor (2)

4. The probability of an event cannot be

(a)

Equal to zero

(b)

Greater than zero

(c)

Equal to one

(d)

Less than zero

5. A random experiment contains

(a)

Atleast one outcome

(b)

At least two outcomes

(c)

Atmost one outcome

(d)

Atmost two outcomes

6. The probability of all possible outcomes of a random experiment is always equal to

(a)

One

(b)

Zero

(c)

Infinity

(d)

All of the above

7. If A is any event in S then its complement P(A′) is equal to

(a)

1

(b)

0

(c)

1-A

(d)

1-P(A)

8. Which of the following cannot be taken as probability of an event?

(a)

0

(b)

0.5

(c)

1

(d)

-1

9. A particular result of an experiment is called

(a)

Trial

(b)

Simple event

(c)

Compound event

(d)

Outcome

10. A collection of one or more outcomes of an experiment is called

(a)

Event

(b)

Outcome

(c)

Sample point

(d)

None of the above

11. The six faces of the dice are called equally likely if the dice is

(a)

Small

(b)

Fair

(c)

Six-faced

(d)

Round

12. 12 x 2 = 24
13. You are walking along a street. If you just choose a stranger crossing you, what is the probability that his next birthday will fall on a sunday?

14. What is the probability of throwing an even number with a single standard dice of six faces?

15. When two coins are tossed, what is the probability that two heads are obtained?

16. A company manufactures 10000 Laptops in 6 months. In that 25 of them are found to be defective. When you choose one Laptop from the manufactured, what is the probability that selected Laptop is a good one.

17. In a survey of 400 youngsters aged 16-20 years, it was found that 191 have their voter ID card. If a youngster is selected at random, find the probability that the youngster does not have their voter ID card.

18. An unbiased die is thrown. What is the probability of getting
(i) an even number or a multiple of 3.
(ii) a number between 3 and 6.

19. Two unbiased coins are tossed simultaneously find the probability of getting

20. Find the probability that a leap year selected at random will contain 53 Sundays.

21. What is the probability that a number selected from the numbers 1, 2, 3, ..., 25 is prime number when each of the given numbers is equally likely to be selected?

22. Tickets numbered from 1 to 20 are mixed up together and then a ticket is drawn at random. What is the probability that the ticket has a number which is a multiple of 3 or 7?

23. One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is
(i) an ace,
(ii) either red card or king.

24. An urn contains 10 red and 8 white balls. One ball is drawn at random. Find the probability, that the ball drawn is white.

25. 5 x 3 = 15
26. When a dice is rolled, find the probability to get the number greater than 4?

27. In an office, where 42 staff members work, 7 staff members use cars, 20 staff members use two-wheelers and the remaining 15 staff members use cycles. Find the relative frequencies.

28. Team I and Team II play 10 cricket matches each of 20 overs. Their total scores in each match are tabulated in the table as follows:

 Match numbers 1 2 3 4 5 6 7 8 9 10 Team I 200 122 111 88 156 184 99 199 121 156 Team II 143 123 156 92 164 72 100 201 98 157

What is the relative frequency of Team I winning?

29. The probability that it will rain tomorrow is $\\ \frac { 91 }{ 100 }$. What is the probability that it will not rain tomorrow?

30. In a recent year, of the 1184 centum scorers in various subjects in tenth standard public exams, 233 were in mathematics. 125 in social science and 106 in science. If one of the student is selected at random, find the probability of that selected student,
(i) is a centum scorer in Mathematics
(ii) is not a centum scorer in Science