Class 9 Maths - MAHARASHTRA
Probability
The chapter 'Probability' introduces Class 9 Maharashtra state board students to the fundamental concepts of measuring uncertainty in everyday life. Building upon basic fractions and ratios learned earlier, this chapter covers random experiments, outcomes, sample spaces, and the definition of probability using the classical approach. Students will learn how to calculate the likelihood of simple events involving coin tosses, die rolls, and card draws. This chapter carries significant weight in the SSC board examinations, usually featuring in word problems and objective questions, making a strong conceptual foundation essential for higher-level mathematics and statistics.
Start Learning FreeKey Concepts
Random Experiment
An experiment whose all possible outcomes are known in advance, but the exact outcome of any specific trial cannot be predicted beforehand.
Outcome
The specific result of a random experiment, such as getting a 'head' when tossing a coin.
Sample Space
The set of all possible outcomes of a random experiment, denoted by the capital letter 'S'.
Event
A particular subset of a sample space representing a specific condition or desired outcome for which we want to find the probability.
Classical Probability
The numerical measure of the likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of equally likely outcomes in the sample space.
Important Formulas
Board Exam Info
In the Maharashtra State Board (MSBSHSE) Class 9 Mathematics curriculum, the Probability chapter typically carries around 4 to 6 marks in the annual geometry/algebra assessments. Common question types include writing sample spaces for experiments like tossing two or three coins or rolling dice, and calculating the direct probability of given events using the standard formula.
Frequently Asked Questions
What is the difference between a sample space and an event?
A sample space contains all the possible outcomes of a random experiment, whereas an event is just a specific subset or desired outcome from that sample space.
Can the probability of any event be greater than 1?
No, the probability of any event always lies between 0 and 1 (inclusive), where 0 means an impossible event and 1 means a sure event.
How do I write the sample space when tossing two coins simultaneously?
When tossing two coins, the sample space is S = {(H,H), (H,T), (T,H), (T,T)}, where H stands for Head and T stands for Tail.
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