⅔ females rest males.P(male distinction)=0.4 P(female distinction)=0.35 P(candidate gets distinction скачать в хорошем качестве

⅔ females rest males.P(male distinction)=0.4 P(female distinction)=0.35 P(candidate gets distinction

For the vacancy advertised in the newspaper, 3000 candidates submitted their applications. From the data it was revealed that two third of the total applicants were females and other were males. The selection for the job was done through a written test. The performance of the applicants indicates that the probability of a male getting a distinction in written test is 0.4 and that a female getting a distinction is 0.35. Find the probability that the candidate chosen at random will have a distinction in the written test. cbse 12th maths old board exam question paper 2024 2025 question in total probability Understanding probability through real-world examples helps build a strong mathematical foundation that stays with students for life. In this video, we explore a job vacancy scenario where 3000 candidates applied for a position, with two-thirds of them being females and the rest males. Through a written test, distinctions were awarded based on performance — and we are tasked with finding the probability that a randomly selected applicant received a distinction. The problem beautifully illustrates how conditional probability and weighted averages work when multiple groups are involved, making it a perfect example to understand the foundational principles of probability. This type of problem is highly relevant for students preparing for major board exams, entrance tests, and competitive assessments where analytical thinking and statistical reasoning are key. The problem aligns well with math curricula across global education boards like CBSE, ICSE, IGCSE, IB, Cambridge International, Edexcel, OCR, AQA, and state boards. It is also common in entrance exams such as JEE Main, JEE Advanced, SAT Math, ACT, AP Statistics, IBDP, GRE Quantitative, GMAT, and even recruitment tests for government and private sector jobs. Probability problems framed in such real-life settings are frequently asked in past question papers across academic and professional levels. In this video, we break down the entire problem step-by-step, guiding you through the logic and calculations needed to solve it. We begin by analyzing the given data, interpreting what fraction of the applicants are male and female, then using probability concepts to determine the likelihood that a randomly selected applicant is among those who scored a distinction. The video also highlights how to set up a probability model that factors in different groups and their respective probabilities, which is a crucial concept not just in academics but also in fields like data analysis, actuarial science, and business forecasting. Whether you are a student aiming for top marks in your math final exam, preparing for a national or international standardized test, or simply brushing up on your concepts for career-related assessments, this video gives you the clarity you need. It shows how to approach word problems that deal with real-world applications, preparing you for the types of questions that appear in board papers, Olympiads, and entrance exams alike. The step-by-step solution ensures no detail is missed, and every calculation is explained in a way that feels intuitive and logical. So grab a notebook, follow along, and by the end, you’ll have a strong grasp of how to handle such problems confidently in any test setting. 📌 Don’t forget to like, share, and subscribe for more such detailed walkthroughs on math problems that appear across all levels of education and examination formats. 📈 This video is ideal for anyone studying probability as part of their curriculum, whether you are in school, preparing for undergraduate exams, or revising for graduate-level assessments. #ProbabilityProblem #MathWordProblem #CBSEMath #IGCSEMath #ProbabilityTutorial #MathExams #CompetitiveExamPrep #SATMathHelp #IGCSEQuestions #IBMath #MathBoardQuestions #JEEQuant #AptitudeTest #MathForExams #MathHelp #StudyWithMe #MathSolutionStepByStep #GlobalEducation #ExamMathHelp #WrittenTestProblem #cbsemaths #maths #mathematics #math #cbse #cbse12maths