Probability — Flashcards
Telangana Board · Class 10 · Mathematics
30 flashcards for Probability (Telangana Board Class 10 Mathematics) to test yourself on key terms and facts. Sample: "A fair coin is tossed once. Find"
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A fair coin is tossed once. Find the probability of getting a head.
Answer
Step 1: Sample space = {H, T} Step 2: Favourable outcomes for head = 1 Step 3: Total possible outcomes = 2 Step 4: P(head) = 1/2 Answer: 1/2…
A fair coin is tossed once. Find the probability of getting a tail.
Answer
Step 1: Sample space = {H, T} Step 2: Favourable outcomes for tail = 1 Step 3: Total possible outcomes = 2 Step 4: P(tail) = 1/2 Answer: 1/2…
A bag contains one red ball, one blue ball, and one yellow ball. One ball is drawn without looking. Find the probability of drawing a red ball.
Answer
Step 1: Total possible outcomes = 3 Step 2: Favourable outcomes for red = 1 Step 3: P(red) = 1/3 Answer: 1/3…
A die is thrown once. Find the probability of getting a number greater than 4.
Answer
Step 1: Sample space = {1, 2, 3, 4, 5, 6} Step 2: Favourable outcomes = {5, 6} Step 3: Number of favourable outcomes = 2 Step 4: Total possible outcomes = 6 Step 5: P(E) = 2/6 = 1/3 Answer: 1/3…
A die is thrown once. Find the probability of getting a number less than or equal to 4.
Answer
Step 1: Sample space = {1, 2, 3, 4, 5, 6} Step 2: Favourable outcomes = {1, 2, 3, 4} Step 3: Number of favourable outcomes = 4 Step 4: Total possible outcomes = 6 Step 5: P(F) = 4/6 = 2/3 Answer: 2/3…
Why are the events 'getting a head' and 'getting a tail' on one coin toss called complementary events?
Answer
They are complementary because: 1. They are mutually exclusive: both cannot happen together. 2. They are exhaustive: together they cover the whole sample space {H, T}. 3. Their probabilities add to 1.
If P(E) = 0.05, find P(not E).
Answer
Step 1: Use complement rule Step 2: P(not E) = 1 - P(E) Step 3: P(not E) = 1 - 0.05 = 0.95 Answer: 0.95…
A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing an ace.
Answer
Step 1: Total cards = 52 Step 2: Number of aces = 4 Step 3: P(ace) = 4/52 Step 4: Simplify = 1/13 Answer: 1/13…
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