Series RTEQ.P. Code 48/-3/0
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 14: 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
A letter is chosen at random from the word MATHEMATICS. Find the probability that it is a vowel.
2.1
One card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that it is an ace.
3.1
A fair die is thrown once. Find the probability of getting a number greater than 4.
4.1
If the probability of winning a game is 0.62, what is the probability of losing it?
5.1
What is the probability of an impossible event?
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
A bag contains 12 balls, of which x are black. If 6 more black balls are put in, the probability of drawing a black ball becomes double what it was earlier. Find x.
7.2
Two dice are thrown together. Find the probability that (i) the sum is 6 (ii) the sum is 10.
8.2
A bag contains 3 red, 5 white and 2 black balls. One ball is drawn at random. Find the probability that it is (i) white (ii) not black.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
Three fair coins are tossed together. Find the probability of getting (i) at least two heads (ii) exactly one tail (iii) all three faces the same.
10.3
A box contains 60 discs numbered 1 to 60. One disc is drawn at random. Find the probability that the number is (i) a two-digit number (ii) a perfect square (iii) divisible by 5.
11.3
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting (i) a face card (ii) a red card that is not a face card (iii) a black jack.
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