Probability — Flashcards
Karnataka Board · Class 10 · Mathematics
20 flashcards for Probability (Karnataka Board Class 10 Mathematics) to test yourself on key terms and facts. Sample: "A coin is tossed once. Find.
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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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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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