Class 11 Mathematics — Chapter 14: PROBABILITY

What you'll learn

• ▸Events and Sample Space
• ▸Types of Events: Simple, Compound, Impossible, and Sure
• ▸Algebra of Events
• ▸Mutually Exclusive Events
• ▸Exhaustive Events

Chapter Summary

--- PAGE 1 --- Chapter 14 PROBABILITY Where a mathematical reasoning can be had, it is as great a folly to make use of any other, as to grope for a thing in the dark, when you have a candle in your hand. – JOHN ARBUTHNOT 14.1 Event We have studied about random experiment and sample space associated with an experiment. The sample space serves as an universal set for all questions concerned with the experiment. Consider the experiment of tossing a coin two times. An associated sample space is S = {HH, HT, TH, TT}. Now suppose that we are interested in those outcomes which correspond to the occurrence of exactly one head. We find that HT and TH are the only elements of S corresponding to the occurrence of this happening (event). These two elements form the set E = { HT, TH} We know that the set E is a subset of the sample space S. Similarly, we find the following correspondence between events and subsets of S. Description of events Corresponding sub…

Practice Questions from this Chapter

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1. Calculate my chances of winning. Get Solution →
2. Explain 'sure event' simply. Get Solution →
3. Compare mutually exclusive events. Get Solution →
4. According to the text, any subset of a sample space S is called what? Get Solution →
5. Which term describes an event that corresponds to the empty set φ? Get Solution →
6. What type of event is represented by the entire sample space S? Get Solution →
7. An event that has only one sample point from a sample space is called a... Get Solution →
8. According to the text, what is the term for an event that has more than one sample point? Get Solution →

Did you know?

• 💡 Ancient civilizations used bone dice over 3000 years ago for games of chance.
• 💡 The 'Birthday Paradox' states two people in a group of 23 often share a birthday.
• 💡 A flipped coin slightly favors the side facing up before it is tossed.
• 💡 Weather forecasts use billions of probability calculations to predict future conditions.
• 💡 Your genetic traits follow specific probability patterns from your parents' DNA.

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