Mathematics of Chance — Flashcards
Kerala Board · Class 10 · Mathematics
20 flashcards for Mathematics of Chance (Kerala Board Class 10 Mathematics) to test yourself on key terms and facts.
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What is probability and how is it calculated?
Answer
Probability is a measure of how likely an event is to occur. It is calculated as: Probability = Number of favorable outcomes / Total number of possible outcomes Example: In a box with 6 black balls …
A box contains 8 red balls and 12 blue balls. What is the probability of drawing a red ball?
Answer
Step-by-step solution: Step 1: Count total balls = 8 red + 12 blue = 20 balls Step 2: Count favorable outcomes = 8 red balls Step 3: Apply probability formula Probability of red ball = 8/20 = 2/5 = …
From numbers 1 to 50, what is the probability of selecting a multiple of 5?
Answer
Step-by-step solution: Step 1: Identify multiples of 5 from 1 to 50 Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 Count = 10 numbers Step 2: Total possible outcomes = 50 Step 3: Calculate p…
What is the relationship between probability and area in geometric probability?
Answer
In geometric probability: Probability = Area of favorable region / Area of total region Example: A triangle drawn inside a rectangle has half the area of the rectangle. If a point is marked randoml…
A square is inscribed in a circle. What is the probability that a randomly placed dot inside the circle falls within the square?
Answer
Step-by-step solution: Let circle radius = r Step 1: Area of circle = πr² Step 2: For inscribed square, diagonal = 2r Side of square = 2r/√2 = r√2 Area of square = (r√2)² = 2r² Step 3: Calculate pr…
Two boxes: Box A has 3 red and 2 blue balls, Box B has 4 red and 1 blue ball. One ball is drawn from each box. How many total possible outcomes are there?
Answer
Step-by-step solution: Step 1: Count balls in each box Box A: 3 + 2 = 5 balls total Box B: 4 + 1 = 5 balls total Step 2: Apply multiplication principle Total outcomes = Outcomes from Box A × Outcome…
From the previous example, what is the probability that both balls drawn are red?
Answer
Step-by-step solution: From FC6: Total outcomes = 25 Step 1: Count favorable outcomes Red balls in Box A = 3 Red balls in Box B = 4 Both red outcomes = 3 × 4 = 12 Step 2: Calculate probability P(bo…
What does 'at least one' mean in probability and how do we calculate it?
Answer
'At least one' means one or more events occur. Two methods to calculate: Method 1 (Direct): Count all cases where condition is satisfied Method 2 (Complement): P(at least one) = 1 - P(none) This is…
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
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