Series RTEQ.P. Code 60/-2/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 7: The Mathematics of Maybe: Introduction to Probability
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
What is the probability of an event that is certain to happen?
2.1
Write the sample space for tossing a single coin.
3.1
What is the probability of rolling a 5 on a fair die?
4.1
A fair coin has shown heads 5 times in a row. What is the probability of heads on the next toss?
5.1
What is an event in probability?
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
A sample of 40 students includes 11 who prefer the Arts Club and 9 who prefer the Sports Club. (a) Find P(Arts Club). (b) Estimate how many of the school's 800 students prefer the Sports Club.
7.2
A letter is chosen at random from MATHEMATICS. Find (a) P(M) and (b) P(vowel).
8.2
A die is rolled 12 times and shows 3 three times. Find the experimental and theoretical probabilities of rolling a 3, and explain why they differ.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Three coins are tossed together. (a) Write the sample space. (b) Find P(exactly two heads). (c) Find P(at least one head).
10.3
A coin is tossed and a die is rolled together. (a) How many outcomes are there? (b) Find P(heads and an even number). (c) Find P(tails and a number greater than 4).
11.3
A company records the distance before replacement for 1000 tyres: less than 4000 km: 20; 4001–9000 km: 210; 9001–14,000 km: 325; more than 14,000 km: 445. Find the probability that a tyre lasts (a) less than 4000 km, (b) between 4000 and 14,000 km, (c) more than 14,000 km. Check that these add up to 1.
✦ ✦ ✦