Probability
Karnataka Board · Class 10 · Mathematics
Flashcards for Probability — Karnataka Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
A coin is tossed once. Find the probability of getting a head.
Answer
Step 1: Identify total outcomes = {Head, Tail} = 2 outcomes Step 2: Identify favorable outcomes = {Head} = 1 outcome Step 3: Apply formula P(E) = Favorable outcomes/Total outcomes Step 4: P(Head) = 1/
A die is thrown once. What is the probability of getting a number greater than 4?
Answer
Step 1: Total outcomes = {1, 2, 3, 4, 5, 6} = 6 outcomes Step 2: Favorable outcomes (>4) = {5, 6} = 2 outcomes Step 3: Apply formula P(E) = 2/6 Step 4: Simplify = 1/3 Answer: 1/3 ≈ 0.33
From a deck of 52 cards, one card is drawn. Find the probability of getting an ace.
Answer
Step 1: Total cards = 52 Step 2: Number of aces = 4 (one in each suit) Step 3: Apply formula P(Ace) = 4/52 Step 4: Simplify = 1/13 Answer: 1/13 ≈ 0.077
A bag contains 3 red, 4 blue, and 5 white balls. Find the probability of drawing a blue ball.
Answer
Step 1: Total balls = 3 + 4 + 5 = 12 balls Step 2: Blue balls = 4 Step 3: Apply formula P(Blue) = 4/12 Step 4: Simplify = 1/3 Answer: 1/3 ≈ 0.33
If P(E) = 0.75, find P(not E) using the complement rule.
Answer
Step 1: Use complement formula P(E̅) = 1 - P(E) Step 2: P(not E) = 1 - 0.75 Step 3: P(not E) = 0.25 Verification: P(E) + P(E̅) = 0.75 + 0.25 = 1 ✓ Answer: 0.25 or 1/4
Two coins are tossed together. Find the probability of getting at least one head.
Answer
Step 1: All outcomes = {HH, HT, TH, TT} = 4 outcomes Step 2: At least one head = {HH, HT, TH} = 3 outcomes Method 1: P(at least 1 H) = 3/4 Method 2: P(at least 1 H) = 1 - P(no heads) = 1 - P(TT) = 1 -
A die is thrown. What is the probability of getting an impossible event (getting 7)?
Answer
Step 1: Possible outcomes on a die = {1, 2, 3, 4, 5, 6} Step 2: Favorable outcomes for getting 7 = { } = 0 outcomes Step 3: P(getting 7) = 0/6 = 0 Conclusion: Impossible events have probability = 0 An
A die is thrown. What is the probability of getting a number less than 7 (certain event)?
Answer
Step 1: Possible outcomes = {1, 2, 3, 4, 5, 6} Step 2: Numbers less than 7 = {1, 2, 3, 4, 5, 6} = all outcomes Step 3: P(number < 7) = 6/6 = 1 Conclusion: Certain events have probability = 1 Answer: 1
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What are the important topics in Probability for Karnataka Board Class 10 Mathematics?
Probability covers several key topics that are frequently asked in Karnataka Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
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There are 20 flashcards for Probability covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.
Sources & Official References
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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