Page 207 - DMTH202_BASIC_MATHEMATICS_II

Basic Mathematics-II

Notes 3. Which of these numbers cannot be a probability?
(a) -0.00001 (b) 0.5
(c) 1.001 (d) 0
(e) 1 (f) 20%

4. Two dice are rolled, find the probability that the sum is
(a) equal to 1 (b) equal to 4
(c) less than 13
5. 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.
6. If two events ‘A’ and ‘B’ are such that A  B, then prove P(A) < =P(B).
7. Three coins are tossed. What is the probability of getting (a) all heads, (b) two heads, (c) at
least one head, (d) at least two heads?
8. Illustrate the concept of Axiomatic Approach to Probability with examples.
9. A single card is chosen at random from a standard deck of 52 playing cards. What is the
probability of choosing a 5 or a king?
10. A single 6-sided die is rolled. What is the probability of each outcome? What is the
probability of rolling an even number?

Answers: Self Assessment

1. probability 2. Random experiment
3. connected 4. outcomes
5. sample space 6. larger

7. events. 8. essentials
9. disjoint events 10. imply

11.   A c i 12. likely
i
13. similar 14. weights
15. continuous

14.8 Further Readings

Books Hsu, Obability, Random Variables, And (So), Tata McGraw-Hill Education.

Joseph Lawson Hodges, Basic Concepts of Probability and Statistics, SIAM.
Yu. M. Suhov, Probability and Statistics by Example: Basic Probability and Statistics,
Cambridge University Press.

Online links http://www.maths.uq.edu.au/~kroese/asitp.pdf

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