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Probability

Probability - Important Points


16. A bag contains 7 red candies, 5 green candies, and 4 blue candies. If one candy is randomly chosen, what is the probability of getting a red or green candy?

A. 7/16

B. 12/16

C. 11/16

D. 9/16

Discuss Work Space

Answer: option c

Explanation:

There are 7 red candies and 5 green candies out of a total of 16 candies in the bag. Therefore, the probability of getting a red or green candy is (7 + 5) / 16 = 12 / 16 = 11/16.

17. A fair coin is flipped three times. What is the probability of getting exactly two heads?

A. 1/8

B. 3/8

C. 3/16

D. 1/4

Discuss Work Space

Answer: option c

Explanation:

The probability of getting a head on each flip is 1/2, and since the flips are independent, we use the binomial probability formula to calculate the probability of getting exactly two heads: (3C2) * (1/2)^2 * (1/2) = 3 * 1/4 * 1/2 = 3/8 = 3/16.

18. A bag contains 5 red balls and 7 blue balls. Three balls are drawn at random with replacement. What is the probability of getting all red balls?

A. 5/1728

B. 1/1728

C. 125/1728

D. 27/1728

Discuss Work Space

Answer: option a

Explanation:

The probability of drawing a red ball on each draw is 5/12. Since the balls are drawn with replacement, the probabilities are independent. To find the probability of getting all red balls, we multiply the probabilities: (5/12) * (5/12) * (5/12) = 125/1728, which simplifies to 5/1728.

19. A bag contains 4 green marbles and 6 blue marbles. Two marbles are drawn randomly without replacement. What is the probability of getting two blue marbles?

A. 3/10

B. 12/55

C. 1/3

D. 1/6

Discuss Work Space

Answer: option b

Explanation:

The probability of drawing a blue marble on the first draw is 6/10. After one blue marble has been drawn, there are 5 blue marbles left out of 9 marbles. The probability of drawing a blue marble on the second draw is 5/9. To find the combined probability, we multiply the probabilities: (6/10) * (5/9) = 30/90, which simplifies to 1/3.

20. A bag contains 3 red balls and 5 blue balls. If two balls are drawn at random with replacement, what is the probability of getting two red balls?

A. 1/8

B. 3/64

C. 9/64

D. 3/16

Discuss Work Space

Answer: option c

Explanation:

The probability of drawing a red ball on each draw is 3/8. Since the balls are drawn with replacement, the probabilities are independent. To find the probability of getting two red balls, we multiply the probabilities: (3/8) * (3/8) = 9/64.


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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Besthai.in provides lots of fully solved MCQs of Probability. You can study all important points related to Probability. You can also take Online Test to check your preparation for Probability in Quantitative Aptitude.

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