Probability — Previous Year Questions (Class 10 Mathematics)
Probability introduces the concept of likelihood and empirical probability. It covers sample spaces, events, and the basic probability formula P(E) = favor
TL;DR: Probability introduces the concept of likelihood and empirical probability. It covers sample spaces, events, and the basic probability formula P(E) =…
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Probability introduces the concept of likelihood and empirical probability. It covers sample spaces, events, and the basic probability formula P(E) = favor
Probability — Previous Year Questions with Solutions
Q (2023, 2 marks): A coin is tossed twice. Find the probability of getting at least one head.
Answer: Sample space: HH, HT, TH, TT
Total outcomes = 4
Favorable outcomes (at least one head): HH, HT, TH
Number of favorable outcomes = 3
P(at least one head) = 3/4
Q (2022, 1 mark): A die is thrown once. Find probability of getting a number greater than 3.
Answer: Sample space: 1, 2, 3, 4, 5, 6
Total outcomes = 6
Favorable outcomes (> 3): 4, 5, 6
Number of favorable outcomes = 3
P(number > 3) = 3/6 = 1/2
Q (2023, 2 marks): Two dice are thrown simultaneously. Find probability of getting a sum of 7.
Answer: Total outcomes when throwing two dice = 6 × 6 = 36
Favorable outcomes (sum = 7): (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
Number of favorable outcomes = 6
P(sum = 7) = 6/36 = 1/6
Q (2021, 1 mark): A bag contains 5 red balls and 3 black balls. A ball is drawn at random. Find P(red ball).
Answer: Total number of balls = 5 + 3 = 8
Number of red balls = 5
P(red ball) = 5/8
Q (2022, 2 marks): A card is drawn from a standard deck of 52 cards. Find P(ace or king).
Answer: Total cards = 52
Number of aces = 4
Number of kings = 4
Favorable outcomes (ace or king) = 4 + 4 = 8
P(ace or king) = 8/52 = 2/13
Q (2023, 3 marks): A die is thrown twice. Find probability that the product of outcomes is 12.
Answer: Total outcomes = 36
Possible products that equal 12: (2,6), (3,4), (4,3), (6,2)
Number of favorable outcomes = 4
P(product = 12) = 4/36 = 1/9
Frequently Asked Questions
What is the basic formula for probability?
P(E) = (Number of favorable outcomes) / (Total number of outcomes), where E is an event and outcomes are equally likely.
How do you find probability when multiple events occur?
For independent events A and B: P(A and B) = P(A) × P(B). For mutually exclusive events: P(A or B) = P(A) + P(B).
More Class 10 Mathematics PYQs
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