Introduction To Probability
NIOS · Class 10 · Maths
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See them allA coin is tossed once. Find the probability of getting a head.
Answer
Step 1: Possible outcomes are H and T. Step 2: Favourable outcomes for head = 1. Step 3: Total possible outcomes = 2. Step 4: P(head) = favourable outcomes / total outcomes = 1/2. Answer: 1/2…
A coin is tossed once. Find the probability of getting a tail.
Answer
Step 1: Possible outcomes are H and T. Step 2: Favourable outcomes for tail = 1. Step 3: Total possible outcomes = 2. Step 4: P(tail) = 1/2. Answer: 1/2…
A die is thrown once. Find the probability of getting a 3.
Answer
Step 1: Possible outcomes are 1, 2, 3, 4, 5, 6. Step 2: Favourable outcomes for 3 = 1. Step 3: Total possible outcomes = 6. Step 4: P(3) = 1/6. Answer: 1/6…
A die is thrown once. Find the probability of getting a number other than 3.
Answer
Step 1: Possible outcomes are 1, 2, 3, 4, 5, 6. Step 2: Outcomes other than 3 are 1, 2, 4, 5, 6. Step 3: Favourable outcomes = 5. Step 4: Total possible outcomes = 6. Step 5: P(not 3) = 5/6. Answer: 5…
A die is thrown once. Find the probability of getting a number less than 7.
Answer
Step 1: A die has outcomes 1, 2, 3, 4, 5, 6. Step 2: All 6 outcomes are less than 7. Step 3: Favourable outcomes = 6. Step 4: Total possible outcomes = 6. Step 5: P(number less than 7) = 6/6 = 1. Answ…
A die is thrown once. Find the probability of getting a number greater than 7.
Answer
Step 1: A die has outcomes 1, 2, 3, 4, 5, 6. Step 2: No outcome is greater than 7. Step 3: Favourable outcomes = 0. Step 4: Total possible outcomes = 6. Step 5: P(number greater than 7) = 0/6 = 0. Ans…
If P(E) = 2/7, find P(not E).
Answer
Step 1: Use the complement rule. Step 2: P(E) + P(not E) = 1. Step 3: P(not E) = 1 - 2/7. Step 4: Write 1 as 7/7. Step 5: P(not E) = 7/7 - 2/7 = 5/7. Answer: 5/7…
A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a red card.
Answer
Step 1: Red suits are hearts and diamonds. Step 2: Number of red cards = 13 + 13 = 26. Step 3: Total cards = 52. Step 4: P(red card) = 26/52 = 1/2. Answer: 1/2…
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