Class 10 Maths - MAHARASHTRA
Probability
The Probability chapter in Class 10 Mathematics builds on previous grades by introducing sample spaces, events, and the formal calculation of mathematical probability using sets. Students learn to analyze random experiments like tossing coins, rolling dice, and drawing cards from a deck. Mastering this chapter is crucial for the Maharashtra State Board (MSBSHSE) examinations as it is a high-scoring topic, frequently appearing in both 1-mark objective questions and 3 to 4-mark word problems. A clear understanding of sample spaces and mutually exclusive events ensures full marks in this section.
Start Learning FreeKey Concepts
Random Experiment
An experiment whose all possible outcomes are known in advance, but the exact outcome cannot be predicted before it occurs.
Sample Space
The set of all possible outcomes of a random experiment, denoted by the capital letter 'S'.
Event
A particular outcome or a subset of the sample space that satisfies a specific condition given in the problem, usually denoted by 'A', 'B', etc.
Probability of an Event
A numerical measure of the likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of sample points.
Complementary Event
The event representing all outcomes in the sample space that are not part of event A, denoted as A'.
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 10 Mathematics Part 1 (Algebra) board exam, the Probability chapter typically carries around 6 to 8 marks with options. Common question types include writing sample spaces for 2 or 3 coins/dice, finding the probability of simple cards and numbers, and 3-mark word problems based on real-life scenarios.
Frequently Asked Questions
Can the probability of any event be greater than 1?
No, the probability of any event always lies between 0 and 1 (inclusive), or 0% to 100%.
How do I write the sample space for tossing three coins?
The sample space contains 8 outcomes: S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}, where H is Head and T is Tail.
What is the difference between an outcome and a sample space?
An outcome is a single possible result of an experiment, while the sample space is the complete set of all possible outcomes.
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