Question Bank
Document No
2-T28 R0
Page
1 of 2
Issue Date
10-05-2022
Prepared By
Approved By
Faculty of Mathematics
Department
Dr Kokila Ramesh
Subject
Probability and
Vector Spaces
Introduction to Probability
Subject Code
21MATI201
Sl
No
Questions
CO’s
Ans
Marks
1.
1. Define- Deterministic and Random Experiment, Sample
space and Events, Exhaustive, Mutually Exclusive and
Impossible events with examples.
CO1
-
2 marks
each
2.
2. A bag contains 40 tickets numbered 1,2,3,. . . ., 40, of which
four are drawn at random and arranged in ascending order
(t1 < t2 < t3 < t4). Find the probability of t3 being 25.
CO1
0.453
5
3.
Three unbiased coins are tossed. What is the probability of
getting at most two heads?
CO1
7
8
5
4.
Two dice are thrown simultaneously. What is the probability
of getting two numbers whose product is even?
CO1
3
4
5
5.
Two aero planes bomb a target in succession. The
probability of each correctly scoring a hit is 0.3 and 0.2
respectively. The second plane will bomb only if the first
misses the target. Find the probability that
i. The target is hit
ii. The target is hit by the second plane
iii. Both fail to score hits.
CO1
(𝑖) 0.44
(𝑖𝑖) 0.32
(𝑖𝑖𝑖) 0.56
6
6.
A Box contains 5 red and 3 white marbles and box B
contains 2 red and 6 white marbles.
i. If a marble is drawn from each box, what is the
probability that they are both of the same color?
ii. If 2 marbles are drawn from each box, what is the
probability that all four marbles are of the same
color?
CO1
(𝑖) 7
16
(𝑖𝑖) 57
784
6
7.
If A and B are events with P (A) = 3/8, P (B) = 5/8 and P
(AUB) = 3/4. Find P (A|B) and P (B|A).
CO1
2
5 𝑎𝑛𝑑 2
3
5
8.
In a school 25% of the students failed in first language, 15%
of the students failed in second language and 10% of the
students failed in both. If a student selected at random find
the probability that
i. he failed in first language if he had failed in the
second language.
CO1
(𝑖) 2
3
(𝑖𝑖) 2
5
(𝑖𝑖𝑖) 3
10
6
