Probability – Aptitude Questions and Answers

Question 1 : Three unbiased coins are tossed. What is the probability that atmost one head occurs ? 

Solution

S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} Favorable outcomes = {HTT, THT, TTH, TTT} Total number of outcomes = 8 Number of favorable outcomes = 4 Required probability = 4 / 8 = 0.50   

Question 2 : Find the probability of getting a red card when a card is drawn from a well shuffled pack of cards. 

Solution

Total number of outcomes = 52 Number of favorable outcomes = Number of red cards = 26 => Required probability = 26 / 52 = 0.50 

Question 3 : A bag contains 6 white and 4 black balls. Two balls are drawn at random from the bag. Find the probability that both the balls are of the same color. 

Solution

Outcome will be favorable if the two balls drawn are of the same color. => Number of favorable outcomes = 6 C 2 + 4 C 2 = 21 Total number of outcomes = 10 C 2 = 45 Therefore, required probability = 21 / 45 = 7 / 15   

Question 4 : An unbiased die is tossed. Find the probability of getting an even number. 

Solution

S = {1, 2, 3, 4, 5, 6} Favorable outcomes = {2, 4, 6} Required probability = 3 / 6 = 0.50   

Question 5 : From a bag containing red and blue balls, 10 each, 2 balls are drawn at random. Find the probability that one of them is red and the other is blue. 

Solution

Total number of outcomes = 20 C 2 = 190 Number of favorable outcomes = 10 C 1 x 10 C 1 = 100 Therefore, required probability = 100 / 190 = 10 / 19

Question 6 : A card is drawn from the set of 52 cards. Find the probability of getting a queen card.

A. 1/52

B. 1

C. 1/26

D. 1/13

Solution:

D. 1/13

Related Resources:

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Probability – Aptitude Questions and Answers

Probability – Aptitude Questions and Answers: Are you preparing for a job interview or an entrance exam, or want to improve your quantitative skills? If so, then it is important to have a good understanding of probability and how it works. Probability is an integral part of mathematics and plays a crucial role in fields like science, engineering, finance, and economics.

In this article, we will discuss the most common probability question types commonly asked on quantitative aptitude tests. Whether preparing for a job interview, an entrance exam or simply looking to sharpen your quantitative skills, this article will help you gain a deeper understanding of probability and its applications in Quantitative Aptitude.

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