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Probability — Flashcards

Maharashtra Board · Class 10 · Mathematics

28 flashcards for Probability (Maharashtra Board Class 10 Mathematics) to test yourself on key terms and facts.

45 questions28 flashcards7 formulas & key relations5 concepts

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28 Flashcards·
Random experiment outcomesSample spaceProbability of an event
Card 1Random experiment outcomes

What are the possible outcomes when one coin is tossed?

Answer

Step 1: A coin has two faces. Step 2: The outcomes are Head and Tail. Answer: S = {H, T}. So, n(S) = 2.

Card 2Random experiment outcomes

What are the possible outcomes when a die is thrown once?

Answer

Step 1: A die has 6 faces. Step 2: The upper face can show 1, 2, 3, 4, 5, or 6. Answer: S = {1, 2, 3, 4, 5, 6}. So, n(S) = 6.

Card 3Sample space

What are the possible outcomes when three coins are tossed?

Answer

Step 1: Write all ordered outcomes. Step 2: List every combination. Answer: S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. So, n(S) = 8.

Card 4Sample space

If two coins are tossed, what is the sample space?

Answer

Step 1: Each coin can show H or T. Step 2: Write all ordered pairs. Answer: S = {HH, HT, TH, TT}. So, n(S) = 4.

Card 5Sample space

If two dice are thrown, how many outcomes are in the sample space?

Answer

Step 1: Each die has 6 outcomes. Step 2: For two dice, multiply: 6 × 6 = 36. Answer: n(S) = 36.

Card 6Sample space

A card is drawn from a well shuffled pack of playing cards. How many outcomes are in the sample space?

Answer

Step 1: A pack of playing cards has 52 cards. Step 2: Each card is one possible outcome. Answer: n(S) = 52.

Card 7Sample space

What is the sample space when a card is drawn from a pack of playing cards?

Answer

Step 1: Each of the 52 cards is one outcome. Step 2: The full list includes all cards in all 4 suits. Answer: The sample space has 52 sample points, so n(S) = 52.

Card 8Probability of an event

A bag has 4 balls: 3 white and 1 black. What is the probability of getting a white ball?

Answer

Step 1: Favourable outcomes for white = 3. Step 2: Total outcomes = 4. Step 3: Use P(A) = n(A)/n(S) = 3/4. Answer: P(white) = 3/4.

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Frequently Asked Questions

What are the important topics in Probability for Maharashtra Board Class 10 Mathematics?
Key topics in Probability include Random Experiment and Outcome, Sample Space and Sample Point, Event and Favourable Outcomes, Probability of an Event. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How many flashcards are available for Probability?
There are 28 flashcards for Probability covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Probability for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 45 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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All Maharashtra Board Class 10 Mathematics Flashcards

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