Class 10 Maths — Chapter 14: PROBABILITY

What you'll learn

• ▸Theoretical (Classical) Probability
• ▸Complementary Events
• ▸Impossible and Sure Events
• ▸Range of Probability Values
• ▸Calculating Probability with Dice
• ▸Calculating Probability with Playing Cards
• ▸Elementary Events
• ▸Calculating Probability with Simple Selections

Chapter Summary

--- PAGE 1 --- 1062CH15 PROBABILITY 14 The theory of probabilities and the theory of errors now constitute a formidable body of great mathematical interest and of great practical importance. – R.S. Woodward 14.1 Probability — A Theoretical Approach Let us consider the following situation : Suppose a coin is tossed at random. When we speak of a coin, we assume it to be 'fair', that is, it is symmetrical so that there is no reason for it to come down more often on one side than the other. We call this property of the coin as being 'unbiased'. By the phrase 'random toss', we mean that the coin is allowed to fall freely without any bias or interference. We know, in advance, that the coin can only land in one of two possible ways — either head up or tail up (we dismiss the possibility of its 'landing' on its edge, which may be possible, for example, if it falls on sand). We can reasonably assume that each outcome, head or tail, is as likely to occur as the other. We refer to this b…

Practice Questions from this Chapter

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1. Explain quantum probability simply. Get Solution →
2. Calculate my chances of winning. Get Solution →
3. Illustrate probability in daily life. Get Solution →
4. According to the text, what is the theoretical probability of an event E defined as? Get Solution →
5. An event that is impossible to occur has a probability of what value? Get Solution →
6. What is the term for an event that has only one outcome of the experiment? Get Solution →
7. What is the sum of the probabilities of all the elementary events of an experiment? Get Solution →
8. An event that is sure or certain to occur has a probability of what value? Get Solution →

Did you know?

• 💡 Probability theory first emerged in the 16th century to analyze gambling games.
• 💡 A truly unbiased coin toss is extremely difficult for a human to perform perfectly.
• 💡 Genetic inheritance, like eye color, follows predictable patterns described by probability.
• 💡 Even winning the lottery involves incredibly tiny but calculable probabilities.
• 💡 Quantum physics describes the universe using probabilities because outcomes are inherently uncertain.

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