Probability and statistics solved problems pdf is prepared by expert teachers. These probability aptitude questions based on recent updates and the exact syllabus of the competitive exam.

So candidates can follow these problem-solving examples with solutions to understand the concepts and questions format as per the latest exam syllabus pattern.

You may also read the Reasoning topic **Quantitative Aptitude Study Notes.**

This aptitude pdf covers probability problems on balls with solutions, statistics interview questions and answers, MCQ on probability, etc.

Find out here a list of topics relevant to probability.

- Definition of Probability
- Random Experiments
- Experimental Probability
- Events in Probability
- Empirical Probability
- Mutually Non-Exclusive Events
- Conditional Probability
- Theoretical Probability
- Odds and Probability
- Playing Cards Probability
- Probability and Playing Cards
- Probability Rolling a Die
- Coin Toss Probability
- Probability of Tossing Two Coins
- Probability of Tossing Three Coins
- Complimentary Events
- Mutually Exclusive Events
- Probability for Rolling Two Dice
- Probability for Rolling Three Dice
- Coin Toss Probability Worksheet
- Probability Questions Answers
- Worksheet on Playing Cards
- 10th Grade Worksheet on Probability
- Solved Probability Problems

## Probability Examples and Solutions

Probability questions and answers are an important part of mathematics. The probability value is expressed from 0 to 1. Classical, Relative, Subjective are the types of probability.

### Probability Formula

Suppose an event E occurs, then the probability of that event to occur P(E) is:

P(E) = The ratio of the number of favourable outcomes by the total number of outcomes.

The basic formula is shown above, but there are more formulas in different probability questions which arise due to different situations and events.

### Example of a Probability Questions

Suppose we toss two coins in the air, then we have four outcomes,

i.e. (H, H), (H, T), (T, H), (T, T)

Now, if the probability of an event E containing two heads is asked, then:

P(E) = 1/4, since there is only one case where there are two heads, and there are in total of four outcomes.

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### Types of Events

There are two types of events:

**Impossible Event:**The events in which the probability is 0, such events are called impossible events.**Sure Event:**When the probability of an event to occur is 1, that is the event certain to happen, such events are called sure events.

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