# Worksheet for Probability for Class 10 Maths

Given below are the Class 10 Maths Worksheet for Probability
a. Concepts questions
b. Calculation problems
c. Multiple choice questions
d. Long answer questions
e. Fill in the blanks
Question 1.
Write the sample space for these experiments
a.Throwing two dice
b.Throwing two coins
c.Throwing coin three times and writing the output
d.A die is thrown repeatedly until a six comes up
e.A coin is tossed until head comes up
f.A die is numbered in such a way that its faces show the numbers 1,2,2, 3, 3, 6. It is thrown twice and the total score in two throws is noted

Question 2
A box contains 12 balls out of which x are black. if one ball is drawn at random from the box what is the probability that it will be a black ball? If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x.

Question 3
A box contains 24 balls. Some are blue and the others are green. If a ball is drawn at random, the probability that it is green is 3/2 . Find the number of blue balls and green balls in the box

Question 4
Which of the following cannot be the probability of an event?
(a)1/4
(b) 0.6
(c) 5 %
(d)20/19

Question 5
True and False statement
a.The probability of getting a number between 1 and 25 which is prime is 9/23
b.Probability of impossible event is 1
c.Probability of any event lies between 0 and 1
d.The probability of the occurrence of an event is always one minus the probability that it doesn't occur.

Question 6
Two dice are rolled, find the probability that the sum is
a.equal to 1
b.equal to 4
c.less than 13

Question 7
A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.

Question 8
Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box.Find the probability thta the number on the drawn card is
i. An odd number
ii. A perfect square number
iii. divisible by 5
iv. A prime number less that 20

Question 9
A dice is rolled twice. Find the probability that
i. 5 will not come either time
ii. 5 will come exactly one time

Question 10
A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
a. 11/30
b. 1/6
c. 2/3
d. 1/3
(2) x=3
(5)
a.true
b.False
c.true
d.True
(6) 0,1/12,1
(7)1/4
(8)
(i) 1/2
(ii) 2/25
(iii) 1/5
(iv)2/25
(9) 25/36, 5/18
(10) (d)

• Notes
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• NCERT Solutions

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### Practice Question

Question 1 What is $1 - \sqrt {3}$ ?
A) Non terminating repeating
B) Non terminating non repeating
C) Terminating
D) None of the above
Question 2 The volume of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is?
A) 19.4 cm3
B) 12 cm3
C) 78.6 cm3
D) 58.2 cm3
Question 3 The sum of the first three terms of an AP is 33. If the product of the first and the third term exceeds the second term by 29, the AP is ?
A) 2 ,21,11
B) 1,10,19
C) -1 ,8,17
D) 2 ,11,20