# NCERT Class 10 Mathematics Probability Worksheet 1 CBSE Board Sample Problems (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Probability Worksheet 1

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.

Answer: x = 3

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 . 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)

(b)

(c)

(d)

Question 5

True and False statement

a) The probability of getting a number between 1 and 25 which is prime is

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 does not occur.

Answer:

a) True

b) False

c) True

d) True

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

Answer:

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.

Answer:

2)

5)

6)

7)