EduSahara™ Worksheet

Question 1

1.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a spades?

(i)

1
26
(ii)

3
13
(iii)

1
52
(iv)

1
13
(v)

1
4

Question 2

2.

100 cards are numbered 1,2,3,....100 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is an odd number?

(i)

2
3
(ii)

3
4
(iii)

5
6
(iv)

1
2
(v)

4
5

Question 3

3.

A lot of 24 bulbs contain 5 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?

(i)

6
25
(ii)

19
24
(iii)

1
6
(iv)

1
4
(v)

5
24

Question 4

4.

Dolly and Renuka are friends. What is the probability that both will have different birthdays? (ignoring a leap year).

(i)

1
365
(ii)

364
365
(iii)

365
366
(iv)

1
(v)

363
365

Question 5

5.

Two coins are tossed simultaneously 110 times and it was observed that both heads appeared 80 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

7
11
(ii)

8
11
(iii)

9
11
(iv)

3
4
(v)

3
11

Question 6

6.

Three coins are tossed simultaneously 170 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

30

35

50

55

If the three coins are simultaneously tossed again, compute the probability of '3 heads' coming up.

(i)

2
9
(ii)

3
17
(iii)

4
17
(iv)

14
17
(v)

2
17

Question 7

7.

Two unbiased dice are thrown simultaneously. Find the probability of getting at least 4 as the sum of the two numbers on the dice.

(i)

5
6
(ii)

12
13
(iii)

1
(iv)

11
12
(v)

1
12

Question 8

8.

Which of the following are possible values of probability?

a)

0.67

b)

8

7

c)

-1.5

d)

1

2

e)

3

(i)

{b,a}
(ii)

{c,d,a}
(iii)

{c,d}
(iv)

{a,d}
(v)

{e,b,a}

Question 9

9.

243 families with 2 children were selected randomly, and the following data were recorded

No. of girls in a family

0

1

2

Number of families

72

81

90

Compute the probability of the family, chosen at random, having 2 girls.

(i)

17
27
(ii)

10
27
(iii)

11
27
(iv)

11
28
(v)

1
3

Question 10

10.

Which of the following experiments have equally likely outcomes?

a)	A man starts his vehicle. It starts or it does not starts
b)	A ball is hit. It reaches the boundary or not
c)	A baby is born. It is a boy or girl
d)	A true/false question is attempted. The answer is either right or wrong
e)	A man throws a die. The number on the top is either 3 or not 3

(i)

{e,a,c}
(ii)

{b,d}
(iii)

{b,d,c}
(iv)

{a,c}
(v)

{c,d}

Question 11

11.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '10' of black suit ?

(i)

3
13
(ii)

1
4
(iii)

1
13
(iv)

1
52
(v)

1
26

Question 12

12.

A die is thrown 120 times. Prime numbers appeared on the upper face 25 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

6
25
(ii)

5
24
(iii)

19
24
(iv)

1
6
(v)

1
4

Question 13

13.

96 cards are numbered 1,2,3,....96 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is greater then 12?

(i)

7
8
(ii)

8
9
(iii)

3
4
(iv)

1
8
(v)

1

Question 14

14.

An unbiased die is thrown once. Find the probability of getting a prime number?

(i)

1
2
(ii)

3
4
(iii)

2
3
(iv)

5
6
(v)

4
5

Question 15

15.

In a lottery, there are 17 prizes and 17 blanks. What is the probability of not getting a prize?

(i)

2
3
(ii)

4
5
(iii)

5
6
(iv)

1
2
(v)

3
4

Question 16

16.

Two unbiased dice are thrown simultaneously. Find the probability of getting 4 as the sum of the two numbers on the dice.

(i)

11
12
(ii)

2
13
(iii)

1
6
(iv)

0
(v)

1
12

Question 17

17.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '9' of diamonds?

(i)

3
13
(ii)

1
52
(iii)

1
4
(iv)

1
26
(v)

1
13

Question 18

18.

A bag contains 26 orange marbles, 2 black marbles, 24 white marbles and 22 blue marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is black or white.

(i)

13
37
(ii)

12
37
(iii)

24
37
(iv)

14
37
(v)

7
19

Question 19

19.

Two unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.

(i)

2
3
(ii)

4
5
(iii)

5
6
(iv)

1
2
(v)

3
4

Question 20

20.

A coin is tossed 40 times and tail appears 25 times. If the coin is tossed again, what is the probability of getting a head?

(i)

1
4
(ii)

3
8
(iii)

4
9
(iv)

1
2
(v)

5
8

Question 21

21.

A coin is tossed 70 times and head appears 25 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

5
7
(ii)

9
14
(iii)

4
7
(iv)

2
3
(v)

5
14

Question 22

22.

Three unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.

(i)

1
4
(ii)

4
9
(iii)

3
8
(iv)

5
8
(v)

1
2

Question 23

23.

69 cards are numbered 1,2,3,....69 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is divisible by 5?

(i)

4
23
(ii)

13
69
(iii)

1
5
(iv)

14
69
(v)

56
69

Question 24

24.

In a musical chair game, the person playing the music has been advised to stop playing the music at any time with in 2 minutes after she starts playing. What is the probabilty that the music will stop within the first half-minute after starting?

(i)

0
(ii)

2
5
(iii)

1
2
(iv)

3
4
(v)

1
4

Question 25

25.

A missing helicopter is reported to have crashed somewhere in the rectangular region shown in fig. What is the probability that it crashed inside the shaded region as shown in the figure?

(i)

0
(ii)

2
17
(iii)

15
16
(iv)

1
8
(v)

1
16

Assignment Key