Class 10 Maths - HARYANA
Probability
The chapter 'Probability' in Class 10 Mathematics for Haryana (BSEH) introduces students to the quantitative measure of uncertainty. Building upon Class 9 basics, this chapter focuses mainly on the theoretical (classical) definition of probability. Students will learn to calculate the probability of simple and compound events, understand the relationship between an event and its complementary event, and explore impossible and sure events. This chapter is exceptionally scoring and forms a foundational pillar for higher-level statistics and probability in senior secondary classes. Mastering this chapter ensures easy marks in the BSEH board examination.
Start Learning FreeKey Concepts
Random Experiment
An action or process that results in one or several well-defined outcomes, where the exact outcome cannot be predicted in advance.
Sample Space
The complete collection or set of all possible outcomes of a given random experiment.
Elementary Event
An event that has only one single outcome of a random experiment. The sum of probabilities of all elementary events of an experiment is always 1.
Complementary Event
The event representing 'not E' (denoted as Ē), which consists of all outcomes in the sample space that are not part of event E.
Sure and Impossible Events
An event that is certain to happen has a probability of 1 (sure event), while an event that cannot possibly happen has a probability of 0 (impossible event).
Important Formulas
Board Exam Info
In the Haryana (BSEH) Class 10 Mathematics board exam, the Probability chapter typically carries around 3 to 5 marks. Common question types include 1-mark objective/MCQ questions based on basic probability limits, 2-mark short answer questions involving standard decks of cards, dice, or coin tosses, and 3-mark word problems based on bags containing colored balls or defective items.
Frequently Asked Questions
Can the probability of an event ever be negative or greater than 1?
No, the probability of any event always lies between 0 and 1 (inclusive).
How many face cards are there in a standard deck of 52 playing cards?
There are 12 face cards in total: 4 kings, 4 queens, and 4 jacks.
What is the probability of getting a number greater than 6 on a single throw of a normal die?
It is 0, because a standard die only has faces numbered 1 through 6, making a number greater than 6 an impossible event.
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