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)

1. The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
### Answer & Explanation

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Answer: Option B

Explanation:

The number of exhaustive events = ⁵⁰C₁ = 50.

We have 15 primes from 1 to 50.

Number of favourable cases are 34.

Required probability = 34/50 = 17/25.

2. A coin is tossed live times. What is the probability that there is at the least one tail?
### Answer & Explanation

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Answer: Option A

Explanation:

Let P(T) be the probability of getting least one tail when the coin is tossed five times.

= There is not even a single tail.

i.e. all the outcomes are heads.

= 1/32 ; P(T) = 1 - 1/32 = 31/32

3. If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is -.
### Answer & Explanation

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Answer: Option A

Explanation:

We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.

Thus, the probability of picking a perfect cube is

4/100 = 1/25.

4. Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
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Answer: Option D

Explanation:

n(S) = 20

n(Even no) = 10 = n(E)

n(Prime no) = 8 = n(P)

P(EᴜP) = 10/20 + 8/20 - 1/20 = 17/20

5. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
### Answer & Explanation

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Answer: Option B

Explanation:

The number of exhaustive outcomes is 36.

Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2

P(E) = 1 - 1/2 = 1/2.