Probability (Case Study) (10 Mathematics)
CBSE case-based probability questions involving real-world scenarios like games, sports, and quality control. Students calculate experimental and theoretic
TL;DR: CBSE case-based probability questions involving real-world scenarios like games, sports, and quality control. Students calculate experimental and theo…
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CBSE case-based probability questions involving real-world scenarios like games, sports, and quality control. Students calculate experimental and theoretic
Probability (Case Study) MCQs with Answers & Explanations
Q1. In a cricket tournament, the probability that Team A wins the next match is 0.6 and Team B wins is 0.4. If they play 3 matches, what is the probability that Team A wins at least 2 matches?
- 0.216
- 0.432
- 0.648 ✓ (correct)
- 0.352
Q2. A card is drawn from a standard deck of 52 cards. What is the probability of getting a red card or a face card?
- 15/52
- 26/52
- 35/52
- 38/52 ✓ (correct)
Q3. A die is rolled twice. What is the probability of getting a sum of 7?
- 1/6 ✓ (correct)
- 1/12
- 1/8
- 5/36
Q4. In a bag, there are 5 red balls, 3 blue balls, and 2 green balls. If two balls are drawn without replacement, what is the probability that both are red?
- 25/90 ✓ (correct)
- 10/90
- 20/90
- 5/45
Q5. A quality control inspector finds that 2% of products are defective. If a sample of 100 products is checked, what is the expected number of defective products?
- 1
- 2 ✓ (correct)
- 5
- 10
Q6. Two events A and B are independent. P(A) = 0.5 and P(B) = 0.6. What is P(A and B)?
- 0.3 ✓ (correct)
- 0.5
- 0.6
- 1.1
Q7. In a lottery, the probability of winning the jackpot is 1/1000000. If 10 million tickets are sold, what is the expected number of jackpot winners?
- 0.01
- 1
- 10 ✓ (correct)
- 100
Q8. A student has a 70% chance of passing Math and 80% chance of passing English. Assuming independence, what is the probability of failing both subjects?
- 0.06 ✓ (correct)
- 0.10
- 0.14
- 0.20
Frequently Asked Questions
What is the difference between theoretical and experimental probability?
Theoretical probability is calculated based on mathematical reasoning without conducting an experiment, using P(A) = (favorable outcomes)/(total outcomes). Experimental probability is determined by actually performing an experiment and recording results, calculated as P(A) = (frequency of occurrence)/(total number of trials). As trials increase, experimental probability approaches theoretical probability (Law of Large Numbers).
When can we use the multiplication rule P(A and B) = P(A) * P(B)?
This formula applies only when events A and B are independent, meaning the occurrence of one event does not affect the probability of the other. For dependent events, we use P(A and B) = P(A) * P(B|A), where P(B|A) is the conditional probability of B given A has occurred. Always verify independence before applying the simpler formula.
More 10 Mathematics MCQs
- Coordinate Geometry
- Arithmetic Progressions
- Circles
- Surface Areas and Volumes
- Trigonometry (Applications Case Study)
- Coordinate Geometry (Case Study)
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