This is aptitude questions and answers section on Probability with explanation for various interview, competitive examinations and entrance tests. Aspirants who are seeking to test the level of performance in the Probability Aptitude Quiz can check this post carefully. Our team with great effort collected all
the questions about the Probability. The Probability Aptitude online test attempting candidates can find more improvement after participating in this Probability
MCQ Online Test. Aspirants can also find the in-depth benefits of practicing the Probability Aptitude question and answers.

## Probability Questions - Probability Quiz Details

The whole Probability Aptitude questions in the exam are 34 questions. Each question will be on a different topic. The Probability Aptitude Online Test will be in a Multiple Choice Question format. People who are interested can start practicing the Probability Aptitude MCQ and check your status. Before going to take part in Probability Quiz once read the entire page to get an idea.

### Probability Aptitude Questions

Candidates do not think that after the completion of the Probability Aptitude Online Test results will display on the monitor. Every aspirant can view answer in
the View Answer tab. The Probability Aptitude Questions and answers contain a brief description of the content in the Probability Online test. It helps the
students to improve their skills better regarding the topics of the Quiz.
### Probability Formulae

1. Probability Range = 0 = P(A) = 1

2. Rule of Complementary Events = P(AC) + P(A) = 1

3. Rule of Addition = (A or B) = P(A) + P(B) - P(AnB)

4. Disjoint Events

Events A and B are disjoint iff = P(AnB) = 0

5. Conditional Probability = P(A | B) = P(AnB) / P(B)

6. Bayes Formula = P(A | B) = P(B | A) · P(A) / P(B)

7. Independent Events

Events A and B are independent iff = P(AnB) = P(A) · P(B)

8.Cumulative Distribution Function = FX(x) = P(X = x)

### Probability MCQ Quiz Answers With Solutions

In this quiz, students will be using their probability Aptitude skills to answer the given problems which is related to the theoretical and experimental probability.
Given below is a set of Probability MCQ questions based on the topic. These are multiple choice questions. For every question, there is only one correct answer.
After filling the answer, the candidate should click on the View Answer button to know the marked is correct or not. And also candidates can use the Workspace
tab for rough work.

Online Test Name |
Probability |

Exam Type |
Multiple Choice Questions |

Category |
Aptitude Quiz |

Number of Questions |
34 |

The whole Probability Aptitude questions in the exam are 34 questions. Each question will be on a different topic. The Probability Aptitude Online Test will be in a Multiple Choice Question format. People who are interested can start practicing the Probability Aptitude MCQ and check your status. Before going to take part in Probability Quiz once read the entire page to get an idea.

2. Rule of Complementary Events = P(AC) + P(A) = 1

3. Rule of Addition = (A or B) = P(A) + P(B) - P(AnB)

4. Disjoint Events

Events A and B are disjoint iff = P(AnB) = 0

5. Conditional Probability = P(A | B) = P(AnB) / P(B)

6. Bayes Formula = P(A | B) = P(B | A) · P(A) / P(B)

7. Independent Events

Events A and B are independent iff = P(AnB) = P(A) · P(B)

8.Cumulative Distribution Function = FX(x) = P(X = x)

16. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
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Answer: Option B

Explanation:

Required probability = (⁵C₃ . ⁴C₁)/⁹C₄ = (10 * 4)/126 = 20/63

17. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
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Answer: Option B

Explanation:

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. When four marbles are picked at random, then the probability that none is blue is = ¹²C₄/¹⁵C₄ = (12 * 11 * 10 * 9)/(15 * 14 * 13 * 12) = 33/91

18. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
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Answer: Option A

Explanation:

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.

Probability that all the three marbles picked at random are blue = ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13) = 1/455

19. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
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Answer: Option C

Explanation:

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 * 2)/(15 * 14) = 1/35

Probability that both are yellow = ²C₂/¹⁵C₂ = (2 * 1)/(15 * 14) = 1/105

Probability that one blue and other is yellow = (³C₁ * ²C₁)/¹⁵C₂ = (2 * 3 * 2)/(15 * 14) = 2/35

Required probability = 1/35 + 1/105 + 2/35

= 3/35 + 1/105 = 1/35(3 + 1/3)

= 10/(3 * 35) = 2/21

20. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
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Answer: Option A

Explanation:

Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.

Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green

= (⁶C₁ * ⁹C₁)/¹⁵C₂ + ⁶C₂/¹⁵C₂

= (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7

= 46/70 = 23/35