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)

21. A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
### Answer & Explanation

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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.

When three marbles are drawn, the probability that one is yellow and two are red

= (²C₁)(⁴C₂)/¹⁵C₃

= (2 * 4 * 3 * 3 * 2)/(1 * 2 * 15 * 14 * 13) = 12/455

22. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
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Answer: Option B

Explanation:

Two balls can be picked from nine balls in ⁹C₂ ways.

We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.

The required probability = (5 * 4)/⁹C₂ = 20/36 = 5/9

23. Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is -.
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Answer: Option E

Explanation:

There is no definite formula for finding prime numbers among 15 consecutive numbers. Hence the probability cannot be determined.

24. What is the probability that a leap year has 53 Sundays and 52 Mondays?
### Answer & Explanation

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Answer: Option B

Explanation:

A leap year has 52 weeks and two days

Total number of cases = 7

Number of favourable cases = 1

i.e., {Saturday, Sunday}

Required Probability = 1/7

25. 10 books are placed at random in a shelf. The probability that a pair of books will always be together is -.
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Answer: Option C

Explanation:

10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!

Required probability = 1/5