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Mathematics

Simple problems to find the probability of a specific event occurring

In this Class 10 Mathematics topic from the Probability chapter, students learn how to calculate the chance of a specified event occurring in a simple experiment. They identify the total number of equally likely outcomes and the favourable outcomes, then apply the probability formula: P(E) = favourable outcomes ÷ total outcomes. Problems involving coins, dice, cards, or everyday choices help students define an event, calculate its probability, and express the result as a fraction, decimal, or percentage. The focus is on clear reasoning and interpreting whether an event is more or less likely.

Topic overview

Concept revision

If \(P(A)=0.4\), \(P(B)=0.7\), and events \(A\) and \(B\) are independent, what is \(P(A\cap B)\)?

For independent events, the probability of their intersection is \(P(A\cap B)=P(A)\times P(B)\). Thus, \(P(A\cap B)=0.4\times0.7=0.28\).

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