Probability Test 3

Bilingual timed test for SSC, RRB and Banking quant with clean Hindi, preserved math symbols and detailed solutions.

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Batch 2 | SSC RRB Banking

Probability Test 3

25 bilingual MCQs from Probability, including 5 fresh LearnAtMyPlace original supplemental questions with detailed solutions. Designed for cross-exam quantitative aptitude practice with preserved ₹, ×, %, ratios and Hindi wording.

Questions

Duration

25 min

Marking

+1 / -0.25

Sections

Probability | 25 questions

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Preview all 25 questions in Probability Test 3 (no login required)

Probability — Single die probability
1. A fair die is thrown once. What is the probability of getting 4? / एक निष्पक्ष पासा एक बार फेंका गया। 4 आने की probability क्या है?
- A. 1/2
- B. 1/3
- C. 2/3
- D. 1/6 (Correct)
Explanation: Probability of getting a specified number on a die = 1/6. / पासे पर किसी विशेष संख्या की probability = 1/6.
Probability — Single die probability
2. A fair die is thrown once. What is the probability of getting 4? / एक निष्पक्ष पासा एक बार फेंका गया। 4 आने की probability क्या है?
- A. 2/3
- B. 1/3
- C. 1/6 (Correct)
- D. 1/2
Explanation: Probability of getting a specified number on a die = 1/6. / पासे पर किसी विशेष संख्या की probability = 1/6.
Probability — Card suit probability
3. One card is drawn from a standard deck. What is the probability of drawing a heart? / 52 पत्तों की गड्डी से एक पत्ता निकाला गया। heart आने की probability क्या है?
- A. 1/4 (Correct)
- B. 1/2
- C. 1/13
- D. 3/13
Explanation: There are 13 hearts in 52 cards. Probability = 13/52 = 1/4. / 52 पत्तों में 13 hearts होते हैं। Probability = 13/52 = 1/4.
Probability — Card suit probability
4. One card is drawn from a standard deck. What is the probability of drawing a heart? / 52 पत्तों की गड्डी से एक पत्ता निकाला गया। heart आने की probability क्या है?
- A. 1/4 (Correct)
- B. 3/13
- C. 1/2
- D. 1/13
Explanation: There are 13 hearts in 52 cards. Probability = 13/52 = 1/4. / 52 पत्तों में 13 hearts होते हैं। Probability = 13/52 = 1/4.
Probability — Ball selection probability
5. A bag has 3 red balls and 8 blue balls. One ball is drawn. Find probability of red ball. / एक थैले में 3 लाल और 8 नीली गेंदें हैं। एक गेंद निकाली गई। लाल गेंद की probability ज्ञात करें।
- A. 19/110
- B. 41/110
- C. 3/11 (Correct)
- D. 8/11
Explanation: Probability = red balls/total balls = 3/(3+8) = 3/11. / Probability = लाल गेंद/कुल गेंद = 3/(3+8) = 3/11.
Probability — Ball selection probability
6. A bag has 4 red balls and 9 blue balls. One ball is drawn. Find probability of red ball. / एक थैले में 4 लाल और 9 नीली गेंदें हैं। एक गेंद निकाली गई। लाल गेंद की probability ज्ञात करें।
- A. 53/130
- B. 9/13
- C. 4/13 (Correct)
- D. 27/130
Explanation: Probability = red balls/total balls = 4/(4+9) = 4/13. / Probability = लाल गेंद/कुल गेंद = 4/(4+9) = 4/13.
Probability — Coin probability
7. A fair coin is tossed once. What is the probability of getting a head? / एक निष्पक्ष सिक्का एक बार उछाला गया। head आने की probability क्या है?
- A. 1/4
- B. 3/4
- C. 1/3
- D. 1/2 (Correct)
Explanation: A coin has two equally likely outcomes; probability of head = 1/2. / सिक्के के दो समान संभावित परिणाम होते हैं; head की probability = 1/2.
Probability — Coin probability
8. A fair coin is tossed once. What is the probability of getting a head? / एक निष्पक्ष सिक्का एक बार उछाला गया। head आने की probability क्या है?
- A. 1/3
- B. 1/4
- C. 3/4
- D. 1/2 (Correct)
Explanation: A coin has two equally likely outcomes; probability of head = 1/2. / सिक्के के दो समान संभावित परिणाम होते हैं; head की probability = 1/2.
Probability — Favourable outcomes
9. Out of 9 equally likely outcomes, 3 are favourable. Find probability. / 9 समान संभावित परिणामों में 3 अनुकूल हैं। Probability ज्ञात करें।
- A. 2/3
- B. 1/3 (Correct)
- C. 4/9
- D. 3/10
Explanation: Probability = favourable/total = 3/9 = 1/3. / Probability = अनुकूल/कुल = 3/9 = 1/3.
Probability — Favourable outcomes
10. Out of 5 equally likely outcomes, 4 are favourable. Find probability. / 5 समान संभावित परिणामों में 4 अनुकूल हैं। Probability ज्ञात करें।
- A. 4/5 (Correct)
- B. 1
- C. 2/3
- D. 1/5
Explanation: Probability = favourable/total = 4/5 = 4/5. / Probability = अनुकूल/कुल = 4/5 = 4/5.
Probability — Single die probability
11. A fair die is thrown once. What is the probability of getting 4? / एक निष्पक्ष पासा एक बार फेंका गया। 4 आने की probability क्या है?
- A. 1/6 (Correct)
- B. 1/3
- C. 2/3
- D. 1/2
Explanation: Probability of getting a specified number on a die = 1/6. / पासे पर किसी विशेष संख्या की probability = 1/6.
Probability — Single die probability
12. A fair die is thrown once. What is the probability of getting 4? / एक निष्पक्ष पासा एक बार फेंका गया। 4 आने की probability क्या है?
- A. 1/2
- B. 2/3
- C. 1/6 (Correct)
- D. 1/3
Explanation: Probability of getting a specified number on a die = 1/6. / पासे पर किसी विशेष संख्या की probability = 1/6.
Probability — Card suit probability
13. One card is drawn from a standard deck. What is the probability of drawing a heart? / 52 पत्तों की गड्डी से एक पत्ता निकाला गया। heart आने की probability क्या है?
- A. 1/4 (Correct)
- B. 1/2
- C. 3/13
- D. 1/13
Explanation: There are 13 hearts in 52 cards. Probability = 13/52 = 1/4. / 52 पत्तों में 13 hearts होते हैं। Probability = 13/52 = 1/4.
Probability — Card suit probability
14. One card is drawn from a standard deck. What is the probability of drawing a heart? / 52 पत्तों की गड्डी से एक पत्ता निकाला गया। heart आने की probability क्या है?
- A. 1/2
- B. 3/13
- C. 1/13
- D. 1/4 (Correct)
Explanation: There are 13 hearts in 52 cards. Probability = 13/52 = 1/4. / 52 पत्तों में 13 hearts होते हैं। Probability = 13/52 = 1/4.
Probability — Ball selection probability
15. A bag has 3 red balls and 6 blue balls. One ball is drawn. Find probability of red ball. / एक थैले में 3 लाल और 6 नीली गेंदें हैं। एक गेंद निकाली गई। लाल गेंद की probability ज्ञात करें।
- A. 2/3
- B. 1/3 (Correct)
- C. 13/30
- D. 7/30
Explanation: Probability = red balls/total balls = 3/(3+6) = 1/3. / Probability = लाल गेंद/कुल गेंद = 3/(3+6) = 1/3.
Probability — Ball selection probability
16. A bag has 4 red balls and 7 blue balls. One ball is drawn. Find probability of red ball. / एक थैले में 4 लाल और 7 नीली गेंदें हैं। एक गेंद निकाली गई। लाल गेंद की probability ज्ञात करें।
- A. 51/110
- B. 7/11
- C. 29/110
- D. 4/11 (Correct)
Explanation: Probability = red balls/total balls = 4/(4+7) = 4/11. / Probability = लाल गेंद/कुल गेंद = 4/(4+7) = 4/11.
Probability — Coin probability
17. A fair coin is tossed once. What is the probability of getting a head? / एक निष्पक्ष सिक्का एक बार उछाला गया। head आने की probability क्या है?
- A. 1/3
- B. 1/2 (Correct)
- C. 1/4
- D. 3/4
Explanation: A coin has two equally likely outcomes; probability of head = 1/2. / सिक्के के दो समान संभावित परिणाम होते हैं; head की probability = 1/2.
Probability — Coin probability
18. A fair coin is tossed once. What is the probability of getting a head? / एक निष्पक्ष सिक्का एक बार उछाला गया। head आने की probability क्या है?
- A. 1/4
- B. 1/2 (Correct)
- C. 1/3
- D. 3/4
Explanation: A coin has two equally likely outcomes; probability of head = 1/2. / सिक्के के दो समान संभावित परिणाम होते हैं; head की probability = 1/2.
Probability — Favourable outcomes
19. Out of 9 equally likely outcomes, 4 are favourable. Find probability. / 9 समान संभावित परिणामों में 4 अनुकूल हैं। Probability ज्ञात करें।
- A. 5/9
- B. 4/9 (Correct)
- C. 2/3
- D. 2/5
Explanation: Probability = favourable/total = 4/9 = 4/9. / Probability = अनुकूल/कुल = 4/9 = 4/9.
Probability — Favourable outcomes
20. Out of 5 equally likely outcomes, 2 are favourable. Find probability. / 5 समान संभावित परिणामों में 2 अनुकूल हैं। Probability ज्ञात करें।
- A. 2/5 (Correct)
- B. 3/5
- C. 4/5
- D. 1/3
Explanation: Probability = favourable/total = 2/5 = 2/5. / Probability = अनुकूल/कुल = 2/5 = 2/5.
Probability — Percentage / प्रतिशत
21. 15% of 500 is: / 500 का 15% कितना है?
- A. 65
- B. 75 (Correct)
- C. 85
- D. 95
Explanation: 15% = 15/100, so answer = 75. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Probability — Profit-Loss / लाभ-हानि
22. An article bought for Rs 950 is sold at 20% profit. Find SP. / Rs 950 में खरीदी वस्तु 20% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1100
- B. Rs 1140 (Correct)
- C. Rs 1180
- D. Rs 1220
Explanation: SP = CP x (100 + profit%)/100 = 950 x 120/100 = Rs 1140. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
Probability — Time & Work / समय और कार्य
23. A finishes a work in 21 days and B in 27 days. Together they finish in: / A 21 दिन और B 27 दिन में काम पूरा करते हैं। साथ में समय?
- A. 10.8 days
- B. 11.8 days (Correct)
- C. 12.8 days
- D. 13.8 days
Explanation: Combined time = ab/(a+b) = 21 x 27 / 48 = 11.8 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।
Probability — Speed Conversion / चाल परिवर्तन
24. 72 km/h equals: / 72 किमी/घंटा बराबर है:
- A. 17 m/s
- B. 20 m/s (Correct)
- C. 23 m/s
- D. 25 m/s
Explanation: km/h to m/s conversion uses x 5/18. 72 x 5/18 = 20. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
Probability — Simplification / सरलीकरण
25. Simplify: 21 x 18 + 21 - 18. / सरल करें: 21 x 18 + 21 - 18.
- A. 373
- B. 381 (Correct)
- C. 389
- D. 397
Explanation: Apply BODMAS: 378 + 21 - 18 = 381. / पहले गुणा, फिर जोड़-घटाव करें।