Question

Достаточным условием сдачи экзамена является ответ на один из двух вопросов, предлагаемых преподавателем студенту. Студент не знает ответов на 8 вопросов из тех 40, которые могут быть предложены. Какова вероятность сдачи экзамена?

Answer 1

45% всё бывает в разных случаях но чаще этот ответ

Answer 2

#### Probability of Passing the Exam To calculate the probability of passing the exam, we need to consider the number of questions the student needs to answer correctly out of the total number of questions. In this case, the student needs to answer at least one question correctly out of the two questions offered by the instructor. Given that the student does not know the answers to 8 out of the 40 questions that could be asked, we can assume that the student has an equal chance of answering any of the questions correctly. Therefore, the probability of answering a single question correctly is 1/40. To calculate the probability of passing the exam, we can use the complement rule. The complement of passing the exam is failing the exam, which means not answering any of the two questions correctly. The probability of failing the exam is the probability of not answering the first question correctly multiplied by the probability of not answering the second question correctly. The probability of not answering the first question correctly is 39/40, and the probability of not answering the second question correctly is also 39/40. Therefore, the probability of failing the exam is (39/40) * (39/40). To find the probability of passing the exam, we subtract the probability of failing from 1: **Probability of passing the exam = 1 - (39/40) * (39/40)** Please note that this calculation assumes that the student has an equal chance of answering any of the questions correctly and that the questions are independent of each other.