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Class 10 Maths Test Paper | Chapter: Probability (प्रायिकता)
Probability – Test Paper
Time: 40 Minutes Maximum Marks: 20
Section A: Objective / Conceptual Questions
(1 × 4 = 4 marks)
Q1. (1 mark) When a die is thrown once, is the event “getting a number less than 7” a sure event or not?
जब एक पासा एक बार फेंका जाता है, तो “7 से कम संख्या प्राप्त होना” क्या एक निश्चित घटना है?
Q2. (1 mark) If the probability of an event is \( \frac{3}{5} \), find the probability of the event not occurring.
यदि किसी घटना की प्रायिकता \( \frac{3}{5} \) है, तो उस घटना के न होने की प्रायिकता ज्ञात कीजिए।
Q3. (1 mark) Write the total number of outcomes when a die is thrown twice.
जब एक पासा दो बार फेंका जाता है, तो कुल संभावित परिणामों की संख्या लिखिए।
Q4. (1 mark) If two events are complementary, what is the sum of their probabilities?
यदि दो घटनाएँ पूरक (complementary) हों, तो उनकी प्रायिकताओं का योग कितना होगा?
Section B: Short Answer Questions
(2 × 3 = 6 marks)
Q5. (2 marks – Dice Based) A die is thrown once. Find the probability of getting a number which is a multiple of 3.
एक पासा एक बार फेंका जाता है। 3 का गुणज प्राप्त होने की प्रायिकता ज्ञात कीजिए।
Q6. (2 marks – Coins) Two coins are tossed simultaneously. Find the probability of getting exactly one head.
दो सिक्के एक साथ उछाले जाते हैं। ठीक एक चित आने की प्रायिकता ज्ञात कीजिए।
Q7. (2 marks – Card Based) One card is drawn at random from a well-shuffled deck of 52 playing cards. Find the probability that the card drawn is a red card.
52 पत्तों की अच्छी तरह फेंटी गई गड्डी से एक पत्ता निकाला जाता है। लाल पत्ता आने की प्रायिकता ज्ञात कीजिए।
Section C: Long Answer Questions
(4 × 2 = 8 marks)
Q8. (4 marks – Dice Based) A die is thrown twice.
(i) Find the probability of getting the same number on both throws.
(ii) Find the probability that the sum of the numbers obtained is 8.
एक पासा दो बार फेंका जाता है।
(i) दोनों बार समान संख्या आने की प्रायिकता ज्ञात कीजिए।
(ii) प्राप्त संख्याओं का योग 8 होने की प्रायिकता ज्ञात कीजिए।
Q9. (4 marks – Card Based) One card is drawn at random from a standard deck of 52 playing cards.
Find the probability that the card drawn is:
(i) a face card
(ii) neither a face card nor a king
52 पत्तों की गड्डी से एक पत्ता यादृच्छिक रूप से निकाला जाता है।
ज्ञात कीजिए कि निकाला गया पत्ता:
(i) फेस कार्ड है
(ii) न तो फेस कार्ड है और न ही राजा
Q10. (4 marks – PYQ Case Based) A lot consists of 200 pens, out of which 180 are good and the rest are defective.
(i) Find the probability that a pen drawn at random is defective.
(ii) Another lot of 100 pens containing 80 good pens is mixed with the first lot.
Find the probability of drawing a good pen from the combined lot.
एक लॉट में 200 पेन हैं, जिनमें से 180 अच्छे हैं और शेष खराब हैं।
(i) चुना गया पेन खराब होने की प्रायिकता ज्ञात कीजिए।
(ii) 100 पेन का दूसरा लॉट, जिसमें 80 अच्छे पेन हैं, पहले लॉट में मिला दिया जाता है।
संयुक्त लॉट से अच्छा पेन मिलने की प्रायिकता ज्ञात कीजिए।
Exam Pattern Insight / परीक्षा उपयोगी संकेत
- Pure theory questions बोर्ड में नहीं पूछे जाते
- Dice / Cards / Coins questions सबसे अधिक पूछे जाते हैं
- 4 marks के प्रश्नों में sample space या logic स्पष्ट लिखना आवश्यक है
- Final answer हमेशा simplified fraction में लिखिए
💡 Important Exam & Study Tips
- Master NCERT Fundamentals: Ensure thorough familiarity with standard textbook definitions, formulas, and in-text examples before solving advanced problems.
- Step-by-Step Presentation: In board examinations, neat presentation, correct formula application, and labeled steps earn maximum step-marking.
- Practice Under Timed Conditions: Regular practice with previous years' question papers (PYQs) builds exam speed and accuracy.
📚 Related Study Materials on StudyMats
Access more chapter-wise notes and practice papers:
- StudyMats Home — Complete Educational Study Material
- CBSE Class 10 Maths Study Notes & Question Papers
- CBSE Probability Worksheet Study Notes & Question Papers
- Class 10 Probability Study Notes & Question Papers
- Probability Questions Class 10 Study Notes & Question Papers
❓ Frequently Asked Questions (FAQs)
Q1: Are these solutions aligned with the latest rationalized syllabus?
Yes, all study notes and practice questions on StudyMats strictly follow the updated NCERT textbook pattern and CBSE assessment guidelines.
Q2: How can I prepare this chapter for highest marks?
Review the theory thoroughly, solve all textbook exercise questions, and repeatedly practice the high-frequency questions provided in this guide.