outcomes favorable to B = 8. So A will occur if the 2, 4 or 6 appear on top when a die is thrown. A. For example, Sunday will come after Saturday. n(S) = {6 * 6} = 36. 3 balls can be drawn out from 9 in 9C3 = 84 ways. A2. Probability is expressed in the form of fractions. What is the probability of getting at most one head? For example, the probability of getting head and tail both simultaneously when a coin is tossed is 0. A. In this post we will be discussing about probability in detail. The three balls will be of different color. E = event of getting sum of the numbers on the two faces that is divisible by 4 or 6. In this session, Irphan Ali will discuss the "GATE PYQs on Probability". A1∪A2∪A3∪…∪Ak=S. And we will say event A has not occurred when 1, 3 or 5 appears in top. For instance when you say that it going to turn heads even before your friend has tossed the coin or when you look up at the sky and say that it’s going to rain. Interview Questions on Probability Probability - Aptitude. These videos cover all topics in aptitude which helps every aspirant to clear Aptitude section in CRT, Bank Exams, SSC, CAT, I-CET, GRE, GATE, RRB, SI/CONSTABLE, VRO/VRA, and many more private and public sector recruitments. Frequently asked simple and hard probability problems or questions with solutions on cards, dice, bags and balls with replacement covered for all competitive exams,bank,interviews and entrance tests. Event B will occur only if a blue ball is drawn from the bag and there are 8 blue balls in the bag so. Probability Quiz Online Test: Now, follow this article, and you will get the answer to most of the questions like Probability Aptitude Tricks, Probability Aptitude Questions and Answers PDF, Probability Exam Questions and Answers, Probability Questions and Answers, Hard Probability Questions, Probability Problems for Aptitude with Solutions, Probability Aptitude Formulas, etc..,. 2 balls of same color and the third a different color. Event A will occur only if a red ball is drawn from the bag and there are 12 red balls in the bag so, No. Let us also see probability problems. Remember probability talks about chance. The Probability Aptitude Online Test will be in a Multiple Choice Question format. Video 8 ( 4 Mins ) : Tables up to 20 without using pen and paper. Most of us miss that part. 2 balls will be same and the third one different if we draw balls from the urn in the follows ways: Therefore total number of favorable cases is, = (2C2 x 3C1) + (2C2 x 4C1) + (3C2 x 2C1) + (3C2 x 4C1) + (4C2 x 2C1) + (4C2 x 3C1). A. People who are interested can start practicing the Probability Aptitude MCQ and check your status. Now there is only a single card that is both an ace and spade. Option: D. Explanation. 6.Two dice are thrown together. For example, we generally say, 'it may rain today'. Check Here for Probability Questions and Answers PDF Check Here for Free Reasoning Questions PDF Free Aptitude Questions PDF. Q. How to solve Probability hard problems. Score More Provides Aptitude and Reasoning Videos for Competitive Exams Q. Find the probability of drawing an ace or a spade or both from a deck of cards? A3, …, Ak are the subset of a sample space S such that, i. Ai∩Aj=∅ where i ≠jii. In the above picture S is the sample space, A and B are two events not mutually exclusive. S = {H, T} E = {H} P(E) = n(E)/n(S) = 1/2 Answer. ExampleIf we consider a die and define an event “All even number” say A = {2, 4, 6} and another event “All odd number” say B = {1, 3, 5} then we say event A∪B has occurred if the outcome is either an even number or an odd number. So probability is all about predicting, estimating and guessing the outcome before the actual occurrence of the event. Probability Tricks. And as A is a proper subset of B then w also belongs to B so we can say that B has also occurred. Video 7 ( 13 Mins ) : Cube roots and Square roots without using pen & paper. This will always occur with full certainty so its probability is 1. Newton’s gravity law! Soilen: Our very honest, humble and dedicated efforts for those who want to chase their Dreams at any cost. Score More Aptitude Videos. Score More Aptitude Videos. So A∪B = {2, 4, 6} ∪ {1, 3, 5} = {1, 2, 3, 4, 5, 6}. So number of elementary event favorable to Ace and Space = n(A∩B) = 1, So probability of drawing both ace and spade = P(A∩B) = n(A∩B)/n(S) = 1/52, Since event A and event B are mutually exclusive so the probability of getting an ace or spade or both is, Therefore the required probability is 4/13, Q. of outcomes favorable to A is n(A) = 12, Therefore, probability of drawing a red ball is P(A) = n(A)/n(S) = 12/20. So tossing of a coin is a random experiment or chance experiment. Learn and practice basic word and conditional probability aptitude questions with shortcuts, useful tips to solve easily in exams. At PacketPrep, we make learning simple, interesting and effective. So number of ways in which 3 different balls can be drawn = 2x3x4 = 24, Therefore the required probability of drawing 3 different balls = 24/84 = 2/7. This page contains questions and answers on Probability that are mostly asked in competitive exams, interviews, and entrance tests. If you don’t know what permutation and combination is then I would recommend you to go through these two topics before starting probability. Required probability = 3 / 6 = 0.50 Question 5 : From a bag containing red and blue balls, 10 each, 2 balls are drawn at random. Each element of the sample space associated with a random experiment is called a simple (elementary) event of the experiment. A. There are 4 ace in a deck of cards so number of elementary events in A = n(A) = 4. Aptitude Made Simpler – Probability – Basic Concepts, Bag and Ball Problems (Part 2) A Bag contains 6 Blue Balls and 4 Red Balls. HelpPrepInsta. Our experts have prepared this probability aptitude questions based on recent updates and exact syllabus of the competitive exam. And what is the probability of drawing a blue ball at random. We are dealing with probability every day. An event which can be further decomposed into simpler event is called a complex event. Learn and practice basic word and conditional probability aptitude questions with shortcuts, useful tips to solve easily in exams. What is the probability that 3 are Blue and 2 are Red or 2 are Blue and 3 are Red? An urn contains 2 red, 3 white and 4 blue balls. Though the bowler, Bret Lee has not yet delivered the next ball but by seeing Sachin score in previous balls of the over you are predicting the future. Video 9 ( 11 Mins ) : Unit’s place identification of a to the power of b. 5 balls are picked at random. Each question will be on a different topic. That means in a total of 5 occurrences, 2 times the occurrences are in my favor. Aptitude model questions pdf on Probability. There are 13 spades in a deck of cards so number of elementary events in B = n(B) = 13. On the other hand if it is certain that an event cannot occur at all then its probability is 0. Basic formulas for Probability. What is the chance that, i. The set of all possible outcomes (results) of a random experiment is called the sample space of that random experiment. Let a random experiment has n outcomes. Thus we denote the event “One Head and One Tail” as A = {(H, T), (T, H)}. Probability Quantitative Aptitude Free Online Videos lectures with Questions and Answers, Shortcuts, tips and Tricks for UPSC csat cat IBPS po preparations Basics of Probability aptitude concepts. For three events A, B and C not mutually exclusive and associated with a random experiment then,P(A or B or C) = P(A) + P(B) + P(C) – P(A and B) – P(B and C) – P(C and A) + P(A and B and C)Or,P(A∪B∪C) = P(A) + P(B) +P(C) – P(A∩B) – P(B∩C) – P(C∩A) + P(A∩B∩C), For every event A associated with a random experimentIf the probability of occurrence of A is P(A)Then the probability of not occurrence of A is P(not A) = 1 – P(A)Or,P(AC) = 1 – P(A), So P(A) and P(AC) are mutually exclusive and P(A) + P(AC) = 1. Similarly if two coins are tossed together then the sample space is S = {(H, H), (H, T), (T, H), (T, T)}. 669 likes. For example Sachin Tendulkar will hit a six in the next ball is probability. What is the probability that we get at least k/2 HEADS is less than or equal to? Probability: Solved 93 Probability Questions and answers section with explanation for various online exam preparation, various interviews, Logical Reasoning Category online test. Copyright © 2014 - 2020 DYclassroom. Aptitude Topic Free Download; Probability-1 Click here to Download: Probability-2 Click here to Download: Numerical Aptitude Book Click here to Download: Quantitative & Aptitude Book for CAT Click here to Download: Quantitative & Aptitude Book with Tricks Click here to Download: Quantitative & Aptitude Complete Reference Book with Solutions Click here to Download: Aptitude Book by … For example, we know that on tossing a coin we will either get head or tail (set of all the result) but we cannot tell with certainty which one of the two will occur at any particular tossing of a coin. And no. Probability shortcut tricks are very important thing to know for your exams. Free probability practice tests with solutions for bank exams IBPS, SBI, RRB, SSC, … Total number of balls in the urn = 2+3+4 = 9. So probability of drawing an ace = P(A) = n(A)/n(S) = 4/52, And probability of drawing a space = P(B) = n(B)/n(S) = 13/52. Then the probability of the occurrence of A is m/n i.e., P(A) = No. Let A be a subset of S such that A contains m outcomes. Time is the main factor in competitive exams. Category Questions section with detailed description, explanation will help you to master the topic. To under the topic of probability it is assumed that you know about permutation and combination. Simple Example, Video 3A ( 16 Mins ) : Difference between Aptitude & Mathematics ( Difficult Example ), Video 4 ( 10 Mins ) : Multiplications of Numbers close to 100, Video 5 ( 7 Mins ) : Multiplications of Numbers Close to Multiples of 100, Video 6 ( 11 Mins ) : Squares upto 250 without using pen & paper. Hence if the probability of occurrence of an event is closer to 1 then the chance of its occurrence is higher and if the probability of occurrence of an event is closer to 0 then the chance of its occurrence is lower. 1 white ball can be drawn out of 3 in 3C1 = 3 ways. Let A be the event of drawing a red ball and B be the event of drawing a blue ball from the bag. If a bag contains 12 red and 8 blue balls, then what is the probability of drawing at random a red ball. 3/7 B. 1 B. He has a set of 30 flash cards out of which 17 cards are white and rest are grey. A. Let A be the event “Draw a Ace” and let B be the event “Draw a Spade”. Note: … That is, any two events taken together are mutually exclusive and the union of all the events taken together will give the sample space. Advertisement. Frequently asked simple and hard probability problems or questions with solutions on cards, dice, bags and balls with replacement covered for all competitive exams,bank,interviews and entrance tests. The Probability section is explained with Practice and Learn questions and answers for interview, competitive examination and entrance test. Two events are said to be mutually exclusive if both the events cannot occur simultaneously. 1/18 B. Mathematically, we measure probability from 0 to 1. Option: D. Explanation. Example: Getting Head and Tail both simultaneously on tossing a single coin is a mutually exclusive event. And there are 52 cards in deck so size of sample space is = n(S) = 52. 1 blue ball can be drawn out of 4 in 4C1 = 4 ways. In this section you can learn and practice Aptitude Questions based on "Probability" and improve your skills in order to face the interview, competitive examination and various entrance test (CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc.) Before going to take part in Probability Quiz once read the entire page to get an idea. Home > Aptitude Questions > Probability « Previous; Next » Questions and Answers; Probability - 1; Probability - 2; Probability - 3; Probability - 4; 6. Probability or chance is a common term used in day-to-day life. 1.In a throw of a coin, find the probability of getting a head. Rishabh studies with the help of flash cards. 1/4 C. 1 D. 3 x . You will find solved aptitude examples with detailed explanation and important formulas. Before going to take part in Probability Quiz once read the entire page to get an idea. Now if we consider an event “One Head and One Tail” and denote it as A, then in this case we say event A has occurred only if the outcome is (H, T) or (T, H) and we say that event A has not occurred when the outcome is (H, H) or (T, T). Then the sample space has n elements. This is our new, committed and resounding start. Here in this page we give few examples on Probability shortcut tricks. 1 blue ball can be selected out of 8 blue balls in 8C1= 8 ways.
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