Class 10 Maths - RAJASTHAN
Probability
The chapter Probability in Class 10 Mathematics for RBSE students introduces the theoretical approach to probability, building upon the experimental concepts learned earlier. Students will explore fundamental terms like random experiments, sample spaces, elementary events, and complementary events. This chapter is exceptionally scoring in the Rajasthan Board exams because problems are straightforward and rely on basic counting principles and fractions. Mastery of this chapter helps develop logical reasoning and statistical thinking, which are essential for higher studies and competitive exams. Practicing textbook examples and previous years' board questions ensures full marks in this section.
Start Learning FreeKey Concepts
Random Experiment
An experiment whose outcome cannot be predicted with certainty in advance, such as tossing a coin or rolling a die.
Sample Space
The set of all possible outcomes of a given random experiment, denoted by the symbol S.
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 1.
Complementary Event
The event representing 'not E', denoted as E' or P(not E), which signifies 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 Rajasthan Board (RBSE) Class 10 Mathematics examination, Probability typically carries around 4 to 6 marks. Questions usually include 1-mark objective or multiple-choice questions, 2-mark short answer questions based on cards, dice, or coin tosses, and occasionally a 3-mark word problem.
Frequently Asked Questions
Can the probability of an event ever be greater than 1 or negative?
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 leap year with 53 Sundays?
A leap year has 366 days, which means 52 full weeks and 2 extra days. The remaining 2 days can be (Mon, Tue), (Tue, Wed), (Wed, Thu), (Thu, Fri), (Fri, Sat), (Sat, Sun), or (Sun, Mon). Out of 7 possibilities, 2 include Sunday, so the probability is 2/7.
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