Probability Test 4

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 4

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 4 (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. 1/6 (Correct)
- B. 1/3
- C. 1/2
- D. 2/3
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. 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 — 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. 1/2
- B. 3/13
- C. 1/4 (Correct)
- 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
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. 3/13
- B. 1/2
- C. 1/4 (Correct)
- 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 10 blue balls. One ball is drawn. Find probability of red ball. / एक थैले में 3 लाल और 10 नीली गेंदें हैं। एक गेंद निकाली गई। लाल गेंद की probability ज्ञात करें।
- A. 3/13 (Correct)
- B. 43/130
- C. 10/13
- D. 17/130
Explanation: Probability = red balls/total balls = 3/(3+10) = 3/13. / Probability = लाल गेंद/कुल गेंद = 3/(3+10) = 3/13.
Probability — Ball selection probability
6. A bag has 4 red balls and 5 blue balls. One ball is drawn. Find probability of red ball. / एक थैले में 4 लाल और 5 नीली गेंदें हैं। एक गेंद निकाली गई। लाल गेंद की probability ज्ञात करें।
- A. 5/9
- B. 4/9 (Correct)
- C. 31/90
- D. 49/90
Explanation: Probability = red balls/total balls = 4/(4+5) = 4/9. / Probability = लाल गेंद/कुल गेंद = 4/(4+5) = 4/9.
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. 1/3
- B. 1/2 (Correct)
- C. 3/4
- D. 1/4
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
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. 1/4
- B. 1/3
- 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, 2 are favourable. Find probability. / 9 समान संभावित परिणामों में 2 अनुकूल हैं। Probability ज्ञात करें।
- A. 1/3
- B. 7/9
- C. 1/5
- D. 2/9 (Correct)
Explanation: Probability = favourable/total = 2/9 = 2/9. / Probability = अनुकूल/कुल = 2/9 = 2/9.
Probability — Favourable outcomes
10. Out of 5 equally likely outcomes, 3 are favourable. Find probability. / 5 समान संभावित परिणामों में 3 अनुकूल हैं। Probability ज्ञात करें।
- A. 2/5
- B. 3/5 (Correct)
- C. 4/5
- D. 1/2
Explanation: Probability = favourable/total = 3/5 = 3/5. / Probability = अनुकूल/कुल = 3/5 = 3/5.
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. 1/3
- B. 2/3
- 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 — 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. 1/3
- B. 2/3
- C. 1/2
- 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 — 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. 1/2
- B. 1/13
- C. 1/4 (Correct)
- 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
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. 3/13
- B. 1/4 (Correct)
- 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
15. 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. 41/110
- B. 19/110
- C. 8/11
- D. 3/11 (Correct)
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
16. 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. 27/130
- B. 9/13
- C. 53/130
- D. 4/13 (Correct)
Explanation: Probability = red balls/total balls = 4/(4+9) = 4/13. / Probability = लाल गेंद/कुल गेंद = 4/(4+9) = 4/13.
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. 1/2 (Correct)
- B. 1/4
- 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 — 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. 1/3
- C. 1/2 (Correct)
- 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, 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
20. Out of 5 equally likely outcomes, 4 are favourable. Find probability. / 5 समान संभावित परिणामों में 4 अनुकूल हैं। Probability ज्ञात करें।
- A. 2/3
- B. 1
- C. 4/5 (Correct)
- D. 1/5
Explanation: Probability = favourable/total = 4/5 = 4/5. / Probability = अनुकूल/कुल = 4/5 = 4/5.
Probability — Percentage / प्रतिशत
21. 20% of 475 is: / 475 का 20% कितना है?
- A. 85
- B. 95 (Correct)
- C. 105
- D. 115
Explanation: 20% = 20/100, so answer = 95. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
Probability — Profit-Loss / लाभ-हानि
22. An article bought for Rs 1000 is sold at 10% profit. Find SP. / Rs 1000 में खरीदी वस्तु 10% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1060
- B. Rs 1100 (Correct)
- C. Rs 1140
- D. Rs 1180
Explanation: SP = CP x (100 + profit%)/100 = 1000 x 110/100 = Rs 1100. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
Probability — Time & Work / समय और कार्य
23. A finishes a work in 12 days and B in 18 days. Together they finish in: / A 12 दिन और B 18 दिन में काम पूरा करते हैं। साथ में समय?
- A. 6.2 days
- B. 7.2 days (Correct)
- C. 8.2 days
- D. 9.2 days
Explanation: Combined time = ab/(a+b) = 12 x 18 / 30 = 7.2 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।
Probability — Speed Conversion / चाल परिवर्तन
24. 90 km/h equals: / 90 किमी/घंटा बराबर है:
- A. 22 m/s
- B. 25 m/s (Correct)
- C. 28 m/s
- D. 30 m/s
Explanation: km/h to m/s conversion uses x 5/18. 90 x 5/18 = 25. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
Probability — Simplification / सरलीकरण
25. Simplify: 20 x 14 + 20 - 14. / सरल करें: 20 x 14 + 20 - 14.
- A. 278
- B. 286 (Correct)
- C. 294
- D. 302
Explanation: Apply BODMAS: 280 + 20 - 14 = 286. / पहले गुणा, फिर जोड़-घटाव करें।