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)

6. If four coins are tossed, the probability of getting two heads and two tails is -.
### Answer & Explanation

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Answer: Option A

Explanation:

Since four coins are tossed, sample space = 2^{4}

Getting two heads and two tails can happen in six ways.

n(E) = six ways

p(E) = 6/2^{4} = 3/8

7. If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is -.
### Answer & Explanation

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Answer: Option D

Explanation:

P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king.

P(SᴜK) = 13/52 + 4/52 - 1/52 = 4/13

8. If six persons sit in a row, then the probability that three particular persons are always together is -.
### Answer & Explanation

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Answer: Option C

Explanation:

Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5

9. A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.
### Answer & Explanation

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Answer: Option E

Explanation:

Drawing two balls of same color from seven green balls can be done in ⁷C₂ ways.

Similarly from eight white balls two can be drawn in ⁸C₂ ways.

P = ⁷C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂ = 7/15

10. A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -.
### Answer & Explanation

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Answer: Option A

Explanation:

Total fruits = 9

Since there must be at least two apples,

(⁵C₂ * ⁴C₁)/⁹C₃ + ⁵C₃/⁹C₃ = 25/42.