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Solutions to Exercises Marked with s from the book Introduction to Probability by Joseph K. Blitzstein and Jessica Hwang c Chapman & Hall/CRC Press, 2014Joseph K. Blitzstein and Jessica Hwang.

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Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen. For example, when we flip a coin in the air, what is the possibility of getting a head? The answer to this question is based on the number of possible outcomes.

An Introduction to Probability Theory and Its Applications by William Feller is a classic textbook that provides a comprehensive introduction to the fundamental concepts of probability.

To introduce students to the concept of probability, begin with a real life situation. For example, flip a coin and ask what the chances are that it will come out heads. Or, place the coin in one hand, and put both hands behind your back. Ask one student to guess which hand it is in.

There are three basic rules associated with probability: the addition, multiplication, and complement rules. The addition rule is used to calculate the probability of event A or event B happening; we express it as: P(A or B) = P(A) + P(B) - P(A and B)

Probability is traditionally considered one of the most difficult areas of mathematics, since probabilistic arguments often come up with apparently paradoxical or counterintuitive results.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

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