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Probability — Flashcards

ICSE · Class 11 · Mathematics

36 flashcards for Probability (ICSE Class 11 Mathematics) to test yourself on key terms and facts. Sample: "A die is thrown once. Find the sample space"

64 questions36 flashcards9 formulas & key relations5 concepts

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A series of small Venn diagrams or a single composite diagram illustrating impossible, sure, simple, and compound events within a sample space.
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36 Flashcards·
Sample space and classical probabilityCoin-toss probabilityProbability of coin toss outcomesDie outcomesImpossible eventSure eventComplementary eventComplement of an event
Card 1Sample space and classical probability

A die is thrown once. Find the sample space and the probability of getting an even number.

Answer

Step 1: The sample space is S = {1, 2, 3, 4, 5, 6}. Step 2: The event of getting an even number is E = {2, 4, 6}. Step 3: Favourable outcomes = 3 and total outcomes = 6. Step 4: P(E) = 3/6 = 1/2. Answ…

Card 2Coin-toss probability

A coin is tossed twice. Write the sample space and find the probability of getting exactly one head.

Answer

Step 1: Sample space is S = {HH, HT, TH, TT}. Step 2: Exactly one head occurs in HT and TH. Step 3: Favourable outcomes = 2 and total outcomes = 4. Step 4: P(exactly one head) = 2/4 = 1/2. Answer: Sam…

Card 3Probability of coin toss outcomes

A coin is tossed three times. Find the probability of getting exactly two heads.

Answer

Step 1: Sample space has 8 outcomes. Step 2: Exactly two heads occur in HHT, HTH, and THH. Step 3: Favourable outcomes = 3. Step 4: P(exactly two heads) = 3/8. Answer: 3/8.

Card 4Die outcomes

A die is thrown once. Find the probability of getting a prime number.

Answer

Step 1: Sample space is S = {1, 2, 3, 4, 5, 6}. Step 2: Prime numbers here are 2, 3, and 5. Step 3: Favourable outcomes = 3 and total outcomes = 6. Step 4: P(prime number) = 3/6 = 1/2. Answer: 1/2.

Card 5Impossible event

A die is thrown once. Find the probability of getting a number more than 6.

Answer

Step 1: Sample space is S = {1, 2, 3, 4, 5, 6}. Step 2: No outcome is more than 6. Step 3: Favourable outcomes = 0. Step 4: P = 0/6 = 0. Answer: 0.

Card 6Sure event

A die is thrown once. Find the probability of getting a number less than 7.

Answer

Step 1: Sample space is S = {1, 2, 3, 4, 5, 6}. Step 2: Every outcome is less than 7. Step 3: Favourable outcomes = 6 and total outcomes = 6. Step 4: P = 6/6 = 1. Answer: 1. This is a sure event.

Card 7Complementary event

If P(E) = 2/11, find P(not E).

Answer

Step 1: Use the complement rule P(Ē) = 1 - P(E). Step 2: Substitute P(E) = 2/11. Step 3: P(Ē) = 1 - 2/11 = 9/11. Answer: 9/11.

Card 8Complement of an event

A die is thrown once. Let E be getting an even number. Find the complementary event and its probability.

Answer

Step 1: E = {2, 4, 6}. Step 2: The complementary event is not E = {1, 3, 5}. Step 3: Favourable outcomes for not E = 3. Step 4: P(not E) = 3/6 = 1/2. Answer: not E = {1,3,5} and probability = 1/2.

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Frequently Asked Questions

What are the important topics in Probability for ICSE Class 11 Mathematics?
Key topics in Probability include Basic Ideas: Experiment, Random Experiment, Sample Space, and Event, Types of Events, Classical and Axiomatic Approaches to Probability, Card Facts and Standard Deck Information. Study these first, then practise questions on each for Class 11 exams.
How many flashcards are available for Probability?
There are 36 flashcards for Probability covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Probability for Class 11 exams?
Learn the core ideas first, then work through the 64 practice questions on Probability. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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