# Probability Class 10 Notes: Chapter 15

The probability class 10 notes provided, highlights all the important concepts, formulas, and laws that are included in this chapter. The probability concepts that would be covered in these notes are:

• What is probability and its types
• Events and its types
• Some Important terms related to probability
• Example Questions

## What is Probability?

The probability of an event can be defined as the likelihood of an event to occur. There are mainly two types of probability which are experimental probability and theoretical probability.

• Experimental Probability

Experimental probability or empirical probability can be defined as the probabilities of events in which the results of actual experiments are considered. The formula for empirical probability is-

$P(E) = \frac{Number\, of\, trials\, in\, which\, the\, event\, happened}{Total\, number\, of\, trials}$
• Theoretical Probability

Theoretical probability is defined as the probability which is based on reasoning and expectations. The formula for theoretical probability is given as-

$P(E) = \frac{Number\, of\, trials\, in\, which\, the\, event\, happened}{The\, total\, number\, of\, trials}$

### Events and its types

An event can be defined as a possible outcome of an experiment. There are various types of events in probability which are explained in the linked article. The events are extremely important and should be thoroughly understood.

### Important Terms in Probability

 The probability of a Sure Event 1 The probability of an Impossible Event 0 Probability Range 0 to 1 Sample Space It is defined as the superset of all possible outcomes in an experiment. Elementary Event It is an event which has only 1 outcome Complementary Events The complement of an event “X” is the event that is “not X”. It is represented as P(X’). Also, P(X) + P(X’) = 1

Example Questions

### Sample Questions

1. Find the probability of rolling a 4 with a normal die.
2. A box contains 8 red balls and 5 black balls. A ball is drawn at random from that box. Find the probability that the ball drawn is (i) black (ii) not black
3. What are the probabilities of getting a prime number and a odd number when a die is rolled?

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