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Why Aptitude Probability is Required?

In this Aptitude section you can learn and practice Aptitude Questions with Answers based on "Probability" to improve your skills in order to face written test by IT companies, interview and various entrance tests like Bank Exams, Railway Exams,ICET, GATE, CAT, GRE, MAT, etc.

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Where can I get objective type, multiple choice Aptitude Probability Interview Questions and Answers?

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Probability - Aptitude Questions and Answers

This is aptitude questions and answers section on Probability with explanation for various interview, competitive examinations and entrance tests.

Probability Questions - Probability Quiz Details

Online Test Name Probability
Exam Type Multiple Choice Questions
Category Aptitude Quiz
Number of Questions 34

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)

1. The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
  • A. 21/25
  • B. 17/25
  • C. 4/25
  • D. 8/25
  • E. 9/25
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Answer & Explanation

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.

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2. A coin is tossed live times. What is the probability that there is at the least one tail?
  • A. 31/32
  • B. 1/16
  • C. 1/2
  • D. 1/32
  • E. None of thes3e
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Answer & Explanation

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

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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 -.
  • A. 1/25
  • B. 1/2
  • C. 4/13
  • D. 1/10
  • E. 9/13
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Answer & Explanation

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.

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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 -.
  • A. 1/2
  • B. 16/19
  • C. 4/5
  • D. 17/20
  • E. 3/5
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Answer & Explanation

Answer: Option D

Explanation:

n(S) = 20

n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(Eá´œP) = 10/20 + 8/20 - 1/20 = 17/20

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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 -.
  • A. 1/4
  • B. 1/2
  • C. 3/4
  • D. 3/5
  • E.  None of these
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Answer & Explanation

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.

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