Read and download the CBSE Class 10 Probability Sure Shot Questions Set E. Designed for 2025-26, this advanced study material provides Class 10 Mathematics students with detailed revision notes, sure-shot questions, and detailed answers. Prepared by expert teachers and they follow the latest CBSE, NCERT, and KVS guidelines to ensure you get best scores.
Advanced Study Material for Class 10 Mathematics Chapter 14 Probability
To achieve a high score in Mathematics, students must go beyond standard textbooks. This Class 10 Chapter 14 Probability study material includes conceptual summaries and solved practice questions to improve you understanding.
Class 10 Mathematics Chapter 14 Probability Notes and Questions
CBSE Class 10 Probability Sure Shot Questions Set E. There are many more useful educational material which the students can download in pdf format and use them for studies. Study material like concept maps, important and sure shot question banks, quick to learn flash cards, flow charts, mind maps, teacher notes, important formulas, past examinations question bank, important concepts taught by teachers. Students can download these useful educational material free and use them to get better marks in examinations. Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.
1. On one page of a telephone directory, there were 200 telephone numbers. The frequency distribution of their unit place digit (for example, in the number 25828573, the unit place digit is 3) is given in below table:
Without looking at the page, the pencil is placed on one of these numbers, i.e., the number is chosen at random. What is the probability that the digit in its unit place is (i) an odd number (ii) a prime number and (iii) a number greater than 4.?
2. A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). neither divisible by 5 nor 10.
n). neither divisible by 2 nor 5.
o). neither divisible by 3 nor 5.
p). a perfect cube number.
q). a prime number
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
3. Cards are marked with numbers 4, 5, 6, …….50 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). neither divisible by 5 nor 10.
n). neither divisible by 2 nor 5.
o). neither divisible by 3 nor 5.
p). a perfect cube number.
q). a prime number
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
4. Cards are marked with numbers 13, 14, 15, …….60 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). a perfect cube number.
n). a prime number.
o). neither divisible by 5 nor 10.
p). neither divisible by 2 nor 5.
q). neither divisible by 3 nor 5.
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
5. There are 30 cards numbered from1 to 30. One card is drawn at random. Find the probability of getting the card with
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). a perfect cube number.
n). a prime number.
o). neither divisible by 5 nor 10.
p). neither divisible by 2 nor 5.
q). neither divisible by 3 nor 5.
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
6. A box contains 25 cards numbered from 1 to 25. A card is drawn from the box at random. Find the probability of getting the card with
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). a perfect cube number.
n). a prime number.
o). neither divisible by 5 nor 10.
p). neither divisible by 2 nor 5.
q). neither divisible by 3 nor 5.
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
7. A box contains 19 balls bearing numbers 1,2,3, …. 19 respectively. A ball is drawn at random from the box, Find the probability that the number on the ball is
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). a perfect cube number.
n). a prime number.
o). neither divisible by 5 nor 10.
p). neither divisible by 2 nor 5.
q). neither divisible by 3 nor 5.
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
8. A box contains 20 balls bearing numbers 1,2,3, …. 20 respectively. A ball is drawn at random from the box, Find the probability that the number on the ball is
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). a perfect cube number.
n). a prime number.
o). neither divisible by 5 nor 10.
p). neither divisible by 2 nor 5.
q). neither divisible by 3 nor 5.
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
9. 15 cards numbered 1, 2, 3, 4,……. 14, 15 are put in a box and mixed thoroughly. A man draws a card at random from the box. Find the probability that the number on the card is
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). a perfect cube number.
n). a prime number.
o). neither divisible by 5 nor 10.
p). neither divisible by 2 nor 5.
q). neither divisible by 3 nor 5.
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
10. Tickets numbered 2, 3, 4, 5, …..100, 101 are placed in a box and mixed thoroughly. One ticket is drawn at random from the box. Find the probability that the number on the ticket is
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). a perfect cube number.
n). a prime number.
o). neither divisible by 5 nor 10.
p). neither divisible by 2 nor 5.
q). neither divisible by 3 nor 5.
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
11. Cards are marked with numbers 5, 6, 7, …….50 are placed in the box and mixed thoroughly. One card is drawn at random from the box. What is the probability of getting.
a). a two-digit number
b). a perfect square number
c). a number divisible by 5.
d). a number divisible by 2 or 3.
e). a number divisible by 2 and 3.
f). a number divisible by 7.
g). a number multiple of 8.
h). a two digit number divisible by 5.
i). a two digit number divisible by 2.
j). a two digit number divisible by 3.
k). a two digit number divisible by 4.
l). a two digit number perfect square.
m). a perfect cube number.
n). a prime number.
o). neither divisible by 5 nor 10.
p). neither divisible by 2 nor 5.
q). neither divisible by 3 nor 5.
r). a two digit prime number.
s). an even prime number.
t). a number is not divisible by 5.
u). a number is not divisible by 3.
v). a number is not divisible by 2 and 3.
Please click the link below to download CBSE Class 10 Probability Sure Shot Questions Set E.
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Important Practice Resources for Class 10 Mathematics
CBSE Class 10 Mathematics Chapter 14 Probability Study Material
Students can find all the important study material for Chapter 14 Probability on this page. This collection includes detailed notes, Mind Maps for quick revision, and Sure Shot Questions that will come in your CBSE exams. This material has been strictly prepared on the latest 2026 syllabus for Class 10 Mathematics. Our expert teachers always suggest you to use these tools daily to make your learning easier and faster.
Chapter 14 Probability Expert Notes & Solved Exam Questions
Our teachers have used the latest official NCERT book for Class 10 Mathematics to prepare these study material. We have included previous year examination questions and also step-by-step solutions to help you understand the marking scheme too. After reading the above chapter notes and solved questions also solve the practice problems and then compare your work with our NCERT solutions for Class 10 Mathematics.
Complete Revision for Mathematics
To get the best marks in your Class 10 exams you should use Mathematics Sample Papers along with these chapter notes. Daily practicing with our online MCQ Tests for Chapter 14 Probability will also help you improve your speed and accuracy. All the study material provided on studiestoday.com is free and updated regularly to help Class 10 students stay ahead in their studies and feel confident during their school tests.
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