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)

26. The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.
### Answer & Explanation

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Answer: Option B

Explanation:

P(winning prize atleast on one ticket)

= 1 - P("Losing on all tickets")

= 1 - (0.8)^{4} = (1 + (0.8)^{2})(1 - (0.8)^{2})

= (1.64)(0.36) = 0.5904

27. In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
### Answer & Explanation

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Answer: Option A

Explanation:

Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ * ⁶C₁)

As remaining person can be any one among three couples left.

Required probability = (⁵C₂ * ⁶C₁)/¹⁰C₅

= (10 * 6)/252 = 5/21

28. The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
### Answer & Explanation

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Answer: Option A

Explanation:

If both agree stating the same fact, either both of them speak truth of both speak false.

Probability = 3/5 * 4/7 + 2/5 * 3/7

= 12/35 + 6/35 = 18/35

29. Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
### Answer & Explanation

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Answer: Option D

Explanation:

P(at least one graduate) = 1 - P(no graduates) =

1 - ⁶C₃/¹⁰C₃ = 1 - (6 * 5 * 4)/(10 * 9 * 8) = 5/6

30. From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is -.
### Answer & Explanation

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Answer: Option A

Explanation:

Let E_{1} be the event of drawing a red card.

Let E_{2} be the event of drawing a king .

P(E_{1} ∩ E_{2}) = P(E_{1}) . P(E_{2})

(As E_{1} and E_{2} are independent)

= 1/2 * 1/13 = 1/26