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Probability

Probability - Important Points


6. A box contains 8 white balls and 6 black balls. If two balls are drawn at random with replacement, what is the probability of getting two white balls?

A. 1/7

B. 2/7

C. 4/7

D. 3/7

Discuss Work Space

Answer: option c

Explanation:

The probability of drawing a white ball on each draw is 8/14. Since the balls are drawn with replacement, the probabilities are independent, so we multiply the probabilities: (8/14) * (8/14) = 64/196, which simplifies to 4/7.

7. In a box, there are 5 red pens and 7 blue pens. If two pens are drawn at random without replacement, what is the probability of getting a red pen followed by a blue pen?

A. 5/24

B. 7/24

C. 5/11

D. 7/11

Discuss Work Space

Answer: option c

Explanation:

The probability of drawing a red pen first is 5/12, and since one red pen has already been drawn, there are 7 blue pens and 11 pens left. The probability of drawing a blue pen next is 7/11. To find the combined probability, we multiply the probabilities: (5/12) * (7/11) = 35/132, which simplifies to 5/11.

8. A box contains 4 red balls and 6 blue balls. Three balls are drawn at random with replacement. What is the probability of getting exactly two red balls?

A. 1/25

B. 3/25

C. 6/25

D. 9/25

Discuss Work Space

Answer: option b

Explanation:

The probability of drawing a red ball on each draw is 4/10. Since the balls are drawn with replacement, the probabilities are independent. To find the probability of getting exactly two red balls, we use the binomial probability formula: (3C2) * (4/10)^2 * (6/10)^1 = 3 * (16/100) * (6/10) = 3 * 96/1000 = 288/1000, which simplifies to 3/25.

9. A standard deck of 52 cards is shuffled thoroughly. What is the probability of drawing a heart card and then a spade card (without replacement)?

A. 1/26

B. 1/34

C. 1/52

D. 1/104

Discuss Work Space

Answer: option b

Explanation:

The probability of drawing a heart card first is 13/52, and after one card has been drawn, there are 51 cards left with 13 spades. The probability of drawing a spade card next is 13/51. To find the combined probability, we multiply the probabilities: (13/52) * (13/51) = 169/2652, which simplifies to 1/34.

10. In a class, there are 8 boys and 6 girls. Two students are selected at random to represent the class. What is the probability of selecting two boys?

A. 4/21

B. 16/91

C. 1/7

D. 2/7

Discuss Work Space

Answer: option b

Explanation:

The probability of selecting a boy on each draw is 8/14. Since the selections are independent, we multiply the probabilities: (8/14) * (8/14) = 64/196, which simplifies to 16/91.


Probability Questions and Answers FAQ

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Why do I need to learn Probability Questions with Answers in Quantitative Aptitude?

Probability is an important topic of Quantitative Aptitude. MCQ type Questions with Answers of Probability are required to build your Quantitative Aptitude skills which is a prerequisite for your Career development.

How Probability MCQ type Questions with Answers is helpful in my Career?

The Quantitative Aptitude MCQ type Questions with Answers based on "Probability" will help you improve your skills in order to face the interviews, crack Campus recruitment tests and various other competitive examination such as CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc. with full confidence.

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