Probability
ICSE · Class 11 · Mathematics
Flashcards for Probability — ICSE Class 11 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Explore the full setA die is thrown once. Find the sample space and the probability of getting an even number.
Answer
Step 1: The sample space is S = {1, 2, 3, 4, 5, 6}. Step 2: The event of getting an even number is E = {2, 4, 6}. Step 3: Favourable outcomes = 3 and total outcomes = 6. Step 4: P(E) = 3/6 = 1/2. Answ…
A coin is tossed twice. Write the sample space and find the probability of getting exactly one head.
Answer
Step 1: Sample space is S = {HH, HT, TH, TT}. Step 2: Exactly one head occurs in HT and TH. Step 3: Favourable outcomes = 2 and total outcomes = 4. Step 4: P(exactly one head) = 2/4 = 1/2. Answer: Sam…
A coin is tossed three times. Find the probability of getting exactly two heads.
Answer
Step 1: Sample space has 8 outcomes. Step 2: Exactly two heads occur in HHT, HTH, and THH. Step 3: Favourable outcomes = 3. Step 4: P(exactly two heads) = 3/8. Answer: 3/8.
A die is thrown once. Find the probability of getting a prime number.
Answer
Step 1: Sample space is S = {1, 2, 3, 4, 5, 6}. Step 2: Prime numbers here are 2, 3, and 5. Step 3: Favourable outcomes = 3 and total outcomes = 6. Step 4: P(prime number) = 3/6 = 1/2. Answer: 1/2.
A die is thrown once. Find the probability of getting a number more than 6.
Answer
Step 1: Sample space is S = {1, 2, 3, 4, 5, 6}. Step 2: No outcome is more than 6. Step 3: Favourable outcomes = 0. Step 4: P = 0/6 = 0. Answer: 0.
A die is thrown once. Find the probability of getting a number less than 7.
Answer
Step 1: Sample space is S = {1, 2, 3, 4, 5, 6}. Step 2: Every outcome is less than 7. Step 3: Favourable outcomes = 6 and total outcomes = 6. Step 4: P = 6/6 = 1. Answer: 1. This is a sure event.
If P(E) = 2/11, find P(not E).
Answer
Step 1: Use the complement rule P(Ē) = 1 - P(E). Step 2: Substitute P(E) = 2/11. Step 3: P(Ē) = 1 - 2/11 = 9/11. Answer: 9/11.
A die is thrown once. Let E be getting an even number. Find the complementary event and its probability.
Answer
Step 1: E = {2, 4, 6}. Step 2: The complementary event is not E = {1, 3, 5}. Step 3: Favourable outcomes for not E = 3. Step 4: P(not E) = 3/6 = 1/2. Answer: not E = {1,3,5} and probability = 1/2.
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