Probability
Telangana Board · Class 9 · Mathematics
Flashcards for Probability — Telangana Board Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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A coin is tossed once. Find the probability of getting heads.
Answer
Step 1: Identify total possible outcomes = 2 (Head, Tail) Step 2: Identify favorable outcomes = 1 (Head) Step 3: Apply formula P(Head) = Favorable outcomes/Total outcomes Step 4: P(Head) = 1/2 = 0.5 o…
A dice is rolled once. Find the probability of getting an even number.
Answer
Step 1: Total possible outcomes = 6 (1, 2, 3, 4, 5, 6) Step 2: Even numbers = 2, 4, 6 (3 favorable outcomes) Step 3: P(even) = Favorable outcomes/Total outcomes Step 4: P(even) = 3/6 = 1/2 = 0.5 Answe…
Two coins are tossed simultaneously. Find the probability of getting exactly one head.
Answer
Step 1: List all outcomes = {HH, HT, TH, TT} (4 total) Step 2: Exactly one head = {HT, TH} (2 favorable outcomes) Step 3: P(exactly one head) = 2/4 = 1/2 Answer: 1/2 or 0.5…
A dice is rolled. Find the probability of getting a number greater than 4.
Answer
Step 1: Total outcomes = 6 (1, 2, 3, 4, 5, 6) Step 2: Numbers greater than 4 = 5, 6 (2 favorable outcomes) Step 3: P(number > 4) = 2/6 = 1/3 Answer: 1/3 ≈ 0.33 or 33.33%…
What is the formula for probability of an event A?
Answer
Formula: P(A) = Number of favorable outcomes/Number of total possible outcomes Example: Rolling a dice to get 3 Favorable outcomes = 1 (only number 3) Total outcomes = 6 (1,2,3,4,5,6) P(getting 3) = …
A bag contains 3 red balls and 5 blue balls. Find the probability of drawing a red ball.
Answer
Step 1: Total balls = 3 + 5 = 8 Step 2: Red balls = 3 (favorable outcomes) Step 3: P(red ball) = 3/8 Step 4: Convert to decimal = 0.375 or 37.5% Answer: 3/8 or 0.375…
Two dice are rolled. Find the probability of getting a sum of 7.
Answer
Step 1: Total outcomes = 6 × 6 = 36 Step 2: Sum = 7 occurs with: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) Step 3: Favorable outcomes = 6 Step 4: P(sum = 7) = 6/36 = 1/6 Answer: 1/6 ≈ 0.167 or 16.67%…
A dice is rolled. Find the probability of getting a prime number.
Answer
Step 1: Total outcomes = 6 (1, 2, 3, 4, 5, 6) Step 2: Prime numbers on dice = 2, 3, 5 (3 numbers) Step 3: P(prime) = 3/6 = 1/2 Answer: 1/2 = 0.5 or 50%…
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