If one pen is drawn at random, what is the probability that it is a red pen? Problem 3 Six good laptops and three defective laptops are mixed up. Tossing a fair coin is an example of random experiment.

What is the probability that a student plays volleyball given that the student plays cricket? Solution Let A be the event that we find a defective laptop in the first test and B be the event that we find a defective laptop in the second test.

If the occurrence of one event is not influenced by another event, they are called mutually exclusive or disjoint. Solution Let us assume A is the event of students playing only cricket and B is the event of students playing only volleyball.

The laws of probability have a wide applicability in a variety of fields like genetics, weather forecasting, opinion polls, stock markets etc.

The first pen-stand contains 2 red pens and 3 blue pens; the second one has 3 red pens and 2 blue pens; and the third one has 4 red pens and 1 blue pen. After tossing a coin, getting Head on the top is an event.

Problem Consider three pen-stands. There is equal probability of each pen-stand to be selected. We often try to guess the results of games of chance, like card games, slot machines, and lotteries; i.

Before proceeding to details of probability, let us get the concept of some definitions. The word "probability" means the chance of occurrence of a particular event. Next Page Closely related to the concepts of counting is Probability. The best we can say is how likely they are to happen, using the idea of probability.

Basic Concepts Probability theory was invented in the 17th century by two French mathematicians, Blaise Pascal and Pierre de Fermat, who were dealing with mathematical problems regarding of chance.

Solution Let us assume A is the event of teenagers owning only a cycle and B is the event of teenagers owning only a bike. What is the probability that a teenager owns bike given that the teenager owns a cycle? Mathematically, it is the study of random processes and their outcomes. To find the defective laptops all of them are tested one-by-one at random.

What is the probability to find both of the defective laptops in the first two pick? Probability can be conceptualized as finding the chance of occurrence of an event.Discrete Mathematics Warmups If there are only a handful of objects, then you can count them with a moment's thought, but the techniques of combinatorics can extend to quickly and efficiently tabulating astronomical quantities.

By contrast, discrete math, in particular counting and probability, allows studentsâ€”even at the middle school levelâ€”to very quickly explore non-trivial "real world" problems that are challenging and interesting.

Discrete math shows up. One may say that the probability of achieving heads is and the probability for tails is One designates probability by the letter P, and writes the probability of achieving heads as: P (heads)=0,5 and tails as: P (tails)=0,5 for tails.

This ability is important for software engineers, data scientists, security and financial analysts (it is not a coincidence that math puzzles are often used for interviews). We cover the basic notions and results (combinatorics, graphs, probability, number theory) that are universally needed.

Discrete Mathematics Probability - Learn Discrete Mathematics Concepts in simple and easy steps starting from Introduction, Sets, Relations, Functions, Propositional Logic, Predicate Logic, Rules of Inference, Operators and Postulates, Group Theory, Counting Theory, Probability, Mathematical Induction, Recurrence Relation, Graph and Graph.

Discrete mathematics and probability. Counting principle. Permutations and combinations. Probabilities. Share on Facebook. Next Chapter: DISCRETE MATHEMATICS AND PROBABILITY.

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