InterviewSolution

Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

1.	What is the probability of getting a vowel in the English alphabet?(a) \(\frac {1}{21}\)(b) \(\frac {5}{19}\)(c) \(\frac {5}{26}\)(d) \(\frac {21}{26}\)This question was posed to me in exam.My question is from Theoretical Approach to Probability topic in portion Probability of Mathematics – Class 10
Answer» The correct choice is (c) \(\FRAC {5}{26}\) Explanation: Total NUMBER of OUTCOMES = 26 Favorable outcomes of getting a VOWEL = {a, e, i, o, U} = 5 P(E) = \(\frac {Number \, of \, favorable \, outcomes}{Total \, number \, of \, outcomes} = \frac {5}{26}\)

2.	A bag contains 3 black, 7 brown, 4 green marbles. What is the probability of getting a green ball?(a) \(\frac {1}{9}\)(b) \(\frac {7}{9}\)(c) \(\frac {2}{7}\)(d) \(\frac {4}{9}\)The question was asked at a job interview.My enquiry is from Theoretical Approach to Probability topic in chapter Probability of Mathematics – Class 10
Answer» Right answer is (c) \(\frac {2}{7}\) Easy EXPLANATION: Total NUMBER of OUTCOMES = 3 + 7 + 4 = 14 Favorable outcomes of getting a green ball = 4 P(E) = \(\frac {Number \, of \, favorable \, outcomes}{Total \, number \, of \, outcomes} = \frac {4}{14}\) = \(\frac {2}{7}\)

3.	Who gave the definition of probability?(a) Euclid(b) Simon Laplace(c) Archimedes(d) EinsteinThe question was asked in an interview.This interesting question is from Theoretical Approach to Probability in chapter Probability of Mathematics – Class 10
Answer» CORRECT option is (b) Simon Laplace For EXPLANATION: The definition of probability was given by Pierre Simon Laplace in the year 1795. Probability can be DEFINED as the RATIO of the number of favorable outcomes to the total number of possible outcomes.

4.	What is the probability of getting a card of Queen from the deck of playing cards?(a) \(\frac {1}{2}\)(b) \(\frac {1}{13}\)(c) \(\frac {5}{26}\)(d) \(\frac {1}{52}\)I have been asked this question by my school principal while I was bunking the class.The above asked question is from Theoretical Approach to Probability topic in portion Probability of Mathematics – Class 10
Answer» Correct choice is (b) \(\frac {1}{13}\) To explain: Total number of OUTCOMES = 52 FAVORABLE outcomes of getting a CARD of QUEEN = 4 P(E) = \(\frac {Number \, of \, favorable \, outcomes}{Total \, number \, of \, outcomes} = \frac {4}{52}\) = \(\frac {1}{13}\)

5.	The probability of occurring an event is 0.45. Find the probability of not occurring the event.(a) 0.5(b) 0.45(c) 0.55(d) 0.1This question was addressed to me in an international level competition.This interesting question is from Theoretical Approach to Probability in division Probability of Mathematics – Class 10
Answer» Correct choice is (C) 0.55 Best EXPLANATION: The probability of occurring an event be P(E) = 0.45 The probability of not occurring the event = P(E) P(E) + P(E) = 1 0.45 + P(E) = 1 P(E) = 0.55

6.	What kind of an event is getting a head or a tail when a coin is tossed?(a) Impossible event(b) Equal event(c) Exhaustive event(d) Equally likelyThis question was addressed to me in semester exam.My question is based upon Theoretical Approach to Probability topic in chapter Probability of Mathematics – Class 10
Answer» The CORRECT answer is (d) Equally likely Explanation: If TWO or more events have an EQUAL chance of occurrence then that kind of an event is called an equally likely event. Here, The chance of GETTING a HEAD or a tail is equal so, it is an equally likely event.

7.	What is the name of the event for which the probability is zero?(a) Impossible event(b) Random event(c) Exhaustive events(d) Mutual eventsI had been asked this question in an interview for job.This key question is from Theoretical Approach to Probability in portion Probability of Mathematics – Class 10
Answer» The correct option is (a) Impossible EVENT Easy explanation: An event that doesn’t OCCUR in any possible SCENARIO is CALLED an impossible event. The probability of an impossible event is always zero.

8.	What is the probability of getting the letter ‘E’ in the English alphabet?(a) \(\frac {1}{21}\)(b) \(\frac {5}{19}\)(c) \(\frac {5}{26}\)(d) \(\frac {1}{26}\)This question was posed to me in an online quiz.My question is based upon Theoretical Approach to Probability in portion Probability of Mathematics – Class 10
Answer» The CORRECT answer is (d) \(\frac {1}{26}\) To EXPLAIN: Total number of outcomes = 26 Favorable outcomes of getting ‘E’ = {E} = 1 P(E) = \(\frac {Number \, of \, favorable \, outcomes}{Total \, number \, of \, outcomes} = \frac {1}{26}\)

9.	What is the sum of the probability of occurring an event E and the probability of not occurring the event E?(a) 0(b) -1(c) 1(d) ∞The question was asked by my school teacher while I was bunking the class.This key question is from Theoretical Approach to Probability topic in section Probability of Mathematics – Class 10
Answer» The CORRECT OPTION is (c) 1 To elaborate: Probability of occurring an EVENT E = P(E) Probability of not occurring the event E = P(E) P(E) + P(E) = 1

10.	A bag contains 3 black, 2 brown, 4 blue balls. What is the probability of getting a brown ball?(a) \(\frac {1}{9}\)(b) \(\frac {7}{9}\)(c) \(\frac {2}{9}\)(d) \(\frac {4}{9}\)I had been asked this question by my school principal while I was bunking the class.This intriguing question comes from Theoretical Approach to Probability topic in division Probability of Mathematics – Class 10
Answer» The CORRECT option is (c) \(\frac {2}{9}\) The BEST I can explain: Total number of OUTCOMES = 3 + 2 + 4 = 9 Favorable outcomes of getting a brown ball = 2 P(E) = \(\frac {Number \, of \, favorable \, outcomes}{Total \, number \, of \, outcomes} = \frac {2}{9}\)

11.	What is the probability of selecting 8 blue balls from 10 green balls?(a) 1(b) 0(c) 0.23(d) 0.5The question was asked by my college director while I was bunking the class.My doubt stems from Theoretical Approach to Probability in chapter Probability of Mathematics – Class 10
Answer» The correct option is (B) 0 Easy explanation: Selecting 8 BLUE balls from 10 green balls is an impossible event. An event that doesn’t occur in any possible scenario is called an impossible event. The PROBABILITY of an impossible event is always ZERO.

12.	What is the probability of getting factors of 3 when a die is rolled?(a) \(\frac {1}{3}\)(b) \(\frac {2}{3}\)(c) \(\frac {1}{6}\)(d) 0This question was posed to me in exam.Question is from Theoretical Approach to Probability topic in chapter Probability of Mathematics – Class 10
Answer» Correct option is (a) \(\FRAC {1}{3}\) To ELABORATE: Total number of outcomes are {1, 2, 3, 4, 5, 6} = 6 Factors of 3 in total outcomes are {3, 6} = 2 P(E) = \(\frac {Number \, of \, FAVORABLE \, outcomes}{Total \, number \, of \, outcomes}\) = \(\frac {2}{6}\) = \(\frac {1}{3}\)

13.	What is the probability of getting a black card from the deck of playing cards?(a) \(\frac {1}{2}\)(b) \(\frac {5}{52}\)(c) \(\frac {5}{26}\)(d) \(\frac {1}{26}\)The question was asked in an online interview.Enquiry is from Theoretical Approach to Probability in division Probability of Mathematics – Class 10
Answer» The correct option is (a) \(\frac {1}{2}\) The explanation: Total number of OUTCOMES = 52 Favorable outcomes of getting a black card = 26 P(E) = \(\frac {Number \, of \, favorable \, outcomes}{Total \, number \, of \, outcomes} = \frac {26}{52}\) = \(\frac {1}{2}\)

14.	What is the probability of getting even numbers when a die is rolled?(a) \(\frac {1}{2}\)(b) \(\frac {3}{2}\)(c) \(\frac {1}{4}\)(d) 1The question was posed to me in an online interview.My question is from Theoretical Approach to Probability in section Probability of Mathematics – Class 10
Answer» Correct choice is (a) \(\frac {1}{2}\) EXPLANATION: Total NUMBER of outcomes are {1, 2, 3, 4, 5, 6} = 6 Even numbers in total outcomes are {2, 4, 6} = 3 P(E) = \(\frac {Number \, of \, FAVORABLE \, outcomes}{Total \, number \, of \, outcomes}\) = \(\frac {3}{6}\) = \(\frac {1}{2}\)