### Probability

Exploratory Data Analysis. Statistics with R. Methods and Statistics in Social Sciences. University of Amsterdam. Data Science Math Skills. Bayesian Statistics.

## Basic Probability Models and Rules Tutorials & Notes | Machine Learning | HackerEarth

Linear Regression for Business Statistics. Introduction to Probability and Data. Bayesian Statistics: Techniques and Models. University of California, Santa Cruz. Trending Courses. Statistical Analysis with R for Public Health. Imperial College London. Specialization 4 Courses. Biostatistics in Public Health. Understanding and Visualizing Data with Python. University of Michigan. There are three routes from a person,s home to her place of work. How many ways can she go from her home to her office?

If she makes her various choices at random,what is the probability that she will take mornungside drive,park in lot A,use the south entrance and take elevator 1. As she starts her car one morning, she recalls parking lot A and B are closed for repair. Three people get on an elevator that stops at three floors.

Assuming that each has an equal probability of going to any one floor. Probability Example 2 A box contains 4 chocobars and 4 ice creams. I have also calculated like this.. Your email address will not be published. Tags gmat preparation gmat quantitative. 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. An event that occurs for sure is called a Certain event and its probability is 1. This means that all other possibilities of an event occurrence lie between 0 and 1. This also means that a probability value can never be negative.

Every event will have a set of possible outcomes. Consider the example of tossing a coin. So is the probability of tail. What is the probability of rolling a 5 when a die is rolled?

Compound probability Compound probability is when the problem statement asks for the likelihood of the occurrence of more than one outcome. P A or B is the probability of the occurrence of atleast one of the events. P A and B is the probability of the occurrence of both A and B at the same time. Mutually exclusive events: Mutually exclusive events are those where the occurrence of one indicates the non-occurrence of the other OR When two events cannot occur at the same time, they are considered mutually exclusive.

## Basic Probability Models and Rules

Consider the aforementioned example of drawing a pen from a pack, with a slight difference. Consider the following example: Example: A single coin is tossed 5 times. Solution: Consider solving this using complement. Sample Probability questions with solutions Probability Example 1 What is the probability of the occurrence of a number that is odd or less than 5 when a fair die is rolled. Solution Let the event of getting a greater number on the first die be G. Answer 1. Problem 2. Answer 2. Over 18, students enrolled, with average rating of 4.

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Random says:. February 3, at am. March 18, at pm. December 5, at pm. Santhosh says:.

December 12, at pm. April 25, at pm. Sangin Pandey says:. November 1, at pm. September 3, at pm. John victor says:. February 23, at am. April 26, at pm. May 9, at am. May 26, at pm. Sunny says:. Strictly speaking, these applications are problems of statistics, for which the foundations are provided by probability theory.

### Use 'probability' in a Sentence

In contrast to the experiments described above, many experiments have infinitely many possible outcomes. Another example is to twirl a spinner. Many measurements in the natural and social sciences, such as volume, voltage, temperature, reaction time, marginal income, and so on, are made on continuous scales and at least in theory involve infinitely many possible values.

If the repeated measurements on different subjects or at different times on the same subject can lead to different outcomes, probability theory is a possible tool to study this variability. Because of their comparative simplicity, experiments with finite sample spaces are discussed first.

### Experiments, sample space, events, and equally likely probabilities

The probability of an event is defined to be the ratio of the number of cases favourable to the event—i. An outcome of the experiment is an n -tuple, the k th entry of which identifies the result of the k th toss. Since there are two possible outcomes for each toss, the number of elements in the sample space is 2 n. Probability theory. Article Media. 