NCERT Solutions for Class 10 Maths Chapter 15 Probability

Maths Chapter 15 Probability deals with the chances of the possible outcomes of the daily events or happenings. Suppose we toss a coin, the chances of getting equally likely outcomes, a head or a tail are ½ and ½ because it has 2 sides or if you roll dice, the chance of getting 6 is "1/6" as it has 6 planes. This phenomenon is called "Theoretical Probability", where we get to know about the expected outcome.

But further, if you repeat the experiment for 'n' number of times, you will get various results. If we toss the coin 1000 times, you might get 375 times heads or 625 times tails and so on. This concept is known as "Experimental Probability", where we get to know the actual results of the experiment.

The major difference between "Experimental" and "Theoretical" probability lies in the number of experiments we do. But thinking about the cost and time of the repetition, we rely on assumptions, basically the concept of "Theoretical" probability. The theoretical probability of an event E, let's say P(E), is defined as "Number of outcomes favourable to 'E' divided by the number of all possible outcomes of the experiment". If the number of trials in an experiment increases, the experimental probability will get closer and closer to the theoretical probability, and the outcome may hit the same.

You can calculate both "Theoretical and Experimental probability" by some formulas readily given in NCERT Maths Chapter 15 Probability. It will help you get an in-depth knowledge of the chapter, which is a must for the class 10th board exam.