Probability
Uttar Pradesh Board · Class 10 · Mathematics
Flashcards for Probability — Uttar Pradesh Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Get startedA coin is tossed once. What is the probability of getting a head?
Answer
Step 1: Identify total possible outcomes = {Head, Tail} = 2 outcomes. Step 2: Identify favourable outcomes for getting head = {Head} = 1 outcome. Step 3: Apply formula P(E) = Favourable outcomes/Total…
A die is thrown once. Find the probability of getting an even number.
Answer
Step 1: Total possible outcomes = {1, 2, 3, 4, 5, 6} = 6 outcomes. Step 2: Favourable outcomes (even numbers) = {2, 4, 6} = 3 outcomes. Step 3: Apply P(E) = 3/6 = 1/2 = 0.5. Answer: 1/2 or 0.5…
From a deck of 52 cards, one card is drawn. What is the probability of getting a king?
Answer
Step 1: Total possible outcomes = 52 cards. Step 2: Favourable outcomes (kings) = 4 kings in deck. Step 3: Apply P(E) = 4/52 = 1/13. Answer: 1/13 ≈ 0.077…
A bag contains 5 red balls and 3 blue balls. One ball is drawn randomly. Find P(red ball).
Answer
Step 1: Total balls = 5 red + 3 blue = 8 balls. Step 2: Favourable outcomes (red balls) = 5. Step 3: Apply P(red) = 5/8 = 0.625. Answer: 5/8 or 0.625…
What is the probability of an impossible event? Give an example with calculation.
Answer
Probability of impossible event = 0. Example: Getting number 7 on a standard die. Step 1: Total outcomes = {1,2,3,4,5,6} = 6. Step 2: Favourable outcomes for getting 7 = 0 (impossible). Step 3: P(gett…
What is the probability of a certain event? Give an example with calculation.
Answer
Probability of certain event = 1. Example: Getting a number less than 7 on a die. Step 1: Total outcomes = {1,2,3,4,5,6} = 6. Step 2: Favourable outcomes (numbers < 7) = {1,2,3,4,5,6} = 6. Step 3: P(n…
Two coins are tossed simultaneously. Find the probability of getting at least one head.
Answer
Step 1: Total outcomes = {HH, HT, TH, TT} = 4. Step 2: Favourable outcomes (at least one head) = {HH, HT, TH} = 3. Step 3: P(at least one head) = 3/4 = 0.75. Alternative: P(at least one head) = 1 - P(…
A die is thrown. Find the probability of getting a prime number.
Answer
Step 1: Total outcomes = {1, 2, 3, 4, 5, 6} = 6. Step 2: Identify prime numbers from 1-6: {2, 3, 5} = 3 outcomes. (Note: 1 is not prime, 4 and 6 are composite). Step 3: P(prime) = 3/6 = 1/2 = 0.5. Ans…
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