Probability — Flashcards
Telangana Open School (TOSS) · Class 12 · Mathematics
30 flashcards for Probability (Telangana Open School (TOSS) Class 12 Mathematics) to test yourself on key terms and facts.
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A die is rolled once. What is the probability of getting a number greater than 4?
Answer
Step 1: Total possible outcomes = 6 (1, 2, 3, 4, 5, 6) Step 2: Favourable outcomes (greater than 4) = 2 (5, 6) Step 3: P = Favourable / Total = 2/6 = 1/3 Answer: 1/3…
Two coins are tossed simultaneously. Find the probability of getting exactly one head.
Answer
Step 1: Sample space = {HH, HT, TH, TT} → 4 outcomes Step 2: Favourable outcomes (exactly one head) = {HT, TH} → 2 outcomes Step 3: P = 2/4 = 1/2 Answer: 1/2…
A card is drawn from a well-shuffled deck of 52 cards. What is the probability that it is a king or a queen?
Answer
Step 1: P(King) = 4/52 = 1/13 Step 2: P(Queen) = 4/52 = 1/13 Step 3: P(King or Queen) = P(King) + P(Queen) = 1/13 + 1/13 = 2/13 Answer: 2/13…
Two dice are thrown. What is the probability that the sum is 7?
Answer
Step 1: Total outcomes = 6 × 6 = 36 Step 2: Favourable outcomes for sum 7 = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)} → 6 outcomes Step 3: P = 6/36 = 1/6 Answer: 1/6…
A bag contains 5 red and 3 blue balls. Two balls are drawn without replacement. Find the probability that both are red.
Answer
Step 1: P(first red) = 5/8 Step 2: After drawing one red, 4 red and 3 blue left → P(second red) = 4/7 Step 3: P(both red) = (5/8) × (4/7) = 20/56 = 5/14 Answer: 5/14…
A coin is tossed three times. What is the probability of getting at least one tail?
Answer
Step 1: P(no tail) = P(all heads) = 1/8 Step 2: P(at least one tail) = 1 – P(no tail) = 1 – 1/8 = 7/8 Answer: 7/8…
A die is rolled. What is the probability of getting an odd number or a number less than 3?
Answer
Step 1: A = odd = {1,3,5}, P(A) = 3/6 Step 2: B = less than 3 = {1,2}, P(B) = 2/6 Step 3: A ∩ B = {1}, P(A ∩ B) = 1/6 Step 4: P(A ∪ B) = P(A) + P(B) – P(A ∩ B) = 3/6 + 2/6 – 1/6 = 4/6 = 2/3 Answer: 2/…
Two cards are drawn with replacement from a deck. What is the probability that both are spades?
Answer
Step 1: P(first spade) = 13/52 = 1/4 Step 2: Since replaced, P(second spade) = 1/4 Step 3: P(both spades) = (1/4) × (1/4) = 1/16 Answer: 1/16…
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