Need of Studying Probability

Need of Studying Probability

We are using probability in day-to-day life, but we have never realized it. For example, throwing a die, you know that only one of the six numbers can always be shown by a dice, hence, the probability of getting a particular number on the dice is 1/6. Probability, has vast applications in the field of science, for example, scientists have never been able to find the position of an electron, because it is insanely small, so, we always define the position of an electron in terms of probability, i.e. there are 80% chances that an electron will be at that position, in an atom, this also forms the basis of quantum mechanics. Hence, the study of probability is important and it is taught in class 10....

What is Probability?

Probability tells the possibility of occurring an event. It can also be stated as the ratio of favorable outcomes and the total number of outcomes. Probability always lies in the range of 0 and 1, and can also be expressed in terms of the percentage. There are 2 different types of probabilities i.e. experimental probability and theoretical probability. In the 9th class, we studied experimental probability in detail, and in the 10th we will be studying theoretical probability....

Types of Probability

In Probability theory, it can broadly be classified into 2 types as follows:...

Events and Outcomes

Before moving on to probability, we need to understand what are events and outcomes. An outcome is the result of an experiment, and this experiment is called an event that has possible outcomes. For example, choosing an Ace from a deck of 52 cards, is an event, with outcomes, diamond Ace, spade Ace, club Ace, and heart Ace. Now, we have different types of events and outcomes....

Types of Events

There are 5 different types of events i.e. sure events, impossible events, normal events, complementary events, and elementary events....

Types of Outcomes

There are two different types of outcomes i.e. equal likely outcome, and non-equally likely outcome....

Cards Probability

The 52 playing cards in a deck are separated into four suits of hearts, diamonds, clubs, and spades....

Practice Problems

Understanding only the theory part of this chapter is not enough. This chapter requires an understanding of different problem statements, and how to solve them. Most of the questions, in probability, are from coin selection, throwing a die, picking an item from a bag, and selecting cards. We will be solving questions on each topic for a better understanding of the chapter....

FAQs on NCERT Notes for Class 10 Maths Chapter 15 Probability

1. What is Probability in Mathematics?...