Class 10 Maths - KARNATAKA
Probability
The chapter on Probability in Karnataka SSLC Mathematics introduces students to the quantitative measure of uncertainty and likelihood of events happening. Building upon Class 9 basics, this chapter focuses mainly on theoretical (classical) probability, dealing with equally likely outcomes of random experiments like tossing coins, rolling dice, and drawing cards from a deck. For SSLC board exams, this is one of the easiest and most scoring chapters. Students will learn to calculate the probability of simple events, complementary events, and sure or impossible events using straightforward formulas, making it crucial for securing full marks in the final examination.
Start Learning FreeKey Concepts
Random Experiment
An experiment whose outcome cannot be predicted with certainty in advance, even though all possible outcomes are known.
Sample Space
The set of all possible outcomes of a given random experiment.
Elementary Event
An event that has only one single outcome of the experiment. The sum of probabilities of all elementary events of an experiment is 1.
Complementary Event
The event representing 'not E' (denoted as Ē), which includes all outcomes in the sample space that are not part of event E.
Sure Event and Impossible Event
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 Karnataka SSLC (KSEEB) Mathematics board exam, the Probability chapter typically carries around 2 to 3 marks. Questions are usually direct and include 1-mark multiple-choice or very short answer questions, and a 2-mark problem based on playing cards, dice, or coin tosses.
Frequently Asked Questions
Can the probability of any event be negative or greater than 1?
No, the probability of any event always lies between 0 and 1 inclusive (0 ≤ P(E) ≤ 1).
How many total cards are there in a standard deck, and how are they divided?
A standard deck has 52 cards, divided equally into 4 suits of 13 cards each: Spades and Clubs (black), and Hearts and Diamonds (red).
What is the sum of probabilities of all possible outcomes in an experiment?
The sum of the probabilities of all the elementary events of an experiment is always equal to 1.
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