# Statistics and probability problems

Compound probability Compound probability is when the problem statement asks for the likelihood of the occurrence of more than one outcome.

## Probability questions and answers examples

Examples of events can be : Tossing a coin with the head up Drawing a red pen from a pack of different coloured pens Drawing a card from a deck of 52 cards etc. Understanding the basic rules and formulas of probability will help you score high in the entrance exams. When a coin is tossed, the possible outcomes are Head and Tail. How to Solve Probability Problems You can solve many simple probability problems just by knowing two simple rules: The probability of any sample point can range from 0 to 1. This means that all other possibilities of an event occurrence lie between 0 and 1. The sum of probabilities of all sample points in a sample space is equal to 1. And if event A were very likely to occur, then P A would be close to 1.

An event that occurs for sure is called a Certain event and its probability is 1. The following sample problems show how to apply these rules to find 1 the probability of a sample point and 2 the probability of an event.

In a certain country last year a total of million tons of trash was recycled. The probability of event A is denoted by P A. And the sum of probabilities of all the sample points must equal 1.

In mathematics too, probability indicates the same — the likelihood of the occurrence of an event. Find the probability that the committee has a 3 women and 2 men.

P A or B is the probability of the occurrence of atleast one of the events.

Solution: For this experiment, the sample space consists of 8 sample points. Either an event will occur for sure, or not occur at all. Together, these outcomes represent the sample space of our experiment.

## Engineering probability and statistics problems and solutions pdf

What is the probability of rolling a 5 when a die is rolled? Solution: For this experiment, the sample space consists of 8 sample points. What is the probability that we draw a spade? Thus, if event A were very unlikely to occur, then P A would be close to 0. The chart below shows the distribution, in millions of tons, for the different types of trashes. Probability of an Event The probability of an event is a measure of the likelihood that the event will occur. Solution: The sum of probabilities of all the sample points must equal 1. When a coin is tossed, the possible outcomes are Head and Tail. Find the probability that a exactly 5 have access to the internet.

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