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CBSE Class 10 Mathematics Worksheet

UNIT VII: Statistics and probability - Probability

1.
Find the probability of getting a number less than 5 in a single throw of a die.
2.
A dice is thrown find the probability of getting a number between 3 & 6.
3.

The king, queen and jack of club are removed from a deck of 52 playing cards and then the cards are well shuffled. A card is drawn at random from the rest of the cards. Probability that the card would be a king of club is?

A)

Zero

B)

0.50

C)

0.60

D)

0.80

4.
Cards marked with numbers 5,6,7,………………………..74 are placed in a bag and mixed thoroughly. One card is
Drawn at random from the bag. Find the probability that the number on the card is a perfect square.
5.

The probability of getting exactly one head in tossing a pair of coins is

A)

0

B)

1

C)

1/3

D)

1/2

6.

Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is

A)

5/36

B)

11/36

C)

12/36

D)

23/36

7.

All red face cards are removed from a pack of playing cards. The remaining cards were well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a card of clubs.

A)

12/52

B)

13/46

C)

13/52

D)

18/52

8.

A box contains 70 cards numbered from 1 to 70. If one card is drawn at random from the box, find the probability that it bears
(i) a perfect square number.
(ii) a number divisible by 2 and 3.

A)

i) 3/35

ii) 11/70

B)

i)5/35

ii)10/70

C)

i) 4/35

ii) 11/70

D)

i) 6/35

ii) 10/70

9.

The probability of event equal to zero is called;

A)

Unsure event

B)

Sure Event

C)

Impossible event

D)

Independent event

10.
Probability of winning a game is 0.4. What is the probability of loosing the game?
11.
Find probability of throwing 5 with an ordinary dice.
12.

The probability of getting a spade card from a well shuffled deck of 52 cards is

A)

1/13

B)

1/4

C)

12/13

D)

3/4

13.
Find the probability of 53 Sundays in the year 2012.
14.
Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is a) 6 b) 12 c) 7.
15.

A card is drawn from a well shuffled deck of cards. What is the probability that the card drawn is neither a king nor a queen?

A)

11/13

B)

12/13

C)

11/26

D)

11/52

16.

In a single throw of a pair of different dice, what is the probability of getting
(i) a prime number on each dice?
(ii) a total of 9 or 11?

A)

i) 1/4

ii) 1/6

B)

i) 3/6

ii) 2/6

C)

i) 2/6

ii) 1/6

17.

A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen.

A)

6/13

B)

7/13

C)

12/26

D)

14/26

18.

Out of a day’s production, which is 1000 machine parts, 100 were found to be
sub – standard. The probability that a part selected at random being up to the
standard is

A)

9/10

B)

1/10

C)

0

D)

None of these

19.
In a simultaneous toss of four coins, what is the probability of getting (a) Less than 2 heads, (b) Exactly 3 head, (c) More than 2 heads?
20.
Choose the correct option: A bag contains 3 red and 2 blue marbles. A marble is drawn at random. The probability of drawing a black ball is
A) 3/5 B) 2/5 C) 0/5 D) 1/5

CBSE Class 10 Mathematics Worksheet

UNIT VII: Statistics and probability - Probability

Answers

1.
(2/3)
2.
(1/3)
3.
Option A

4.
(3/35)
5.
Option D
6.
Option C
7.
Option C
8.
Option C
9.
Option C

10.
0.6
11.
(1/6)
12.
Option B

13.
(2/7)
14.
a)1/9; b) 1/9; c) 0
15.
Option A
16.
Option A
17.
Option A
18.
Option A

19.
5/6, 3/8, 5/16
20.
Option C

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