Question

2. Имеется 40 вопросов, из которых ответы на 22 из них студент знает. Он берёт билет, состоящий из 4 вопросов. Определить вероятность того, что он ответит хотя бы на один вопрос.

Answer 1

1)40-22=18(вопросов)-из которых студент не знает ответов на эти вопросы.
2)Вероятность того, что ученик ответит на один вопрос=55%.
Ответ:55%.

Answer 2

Вероятность того что ученик ответит хотя бы на один вопрос 55%

Answer 3

Probability of Answering at Least One Question

To determine the probability of the student answering at least one question, we can use the concept of complementary events. The probability of the student not answering any question is the complement of the probability of answering at least one question.

Let's calculate the probability step by step.

1. Calculate the Probability of Not Answering Any Question: - The student knows the answers to 22 out of 40 questions. - Therefore, the probability of not knowing the answer to a question is (40 - 22) / 40 = 18 / 40.

2. Calculate the Probability of Answering at Least One Question: - The probability of answering at least one question is the complement of not answering any question, which is 1 - (18 / 40).

3. Final Calculation: - Therefore, the probability of the student answering at least one question is (40 - 18) / 40 = 22 / 40.

So, the probability of the student answering at least one question is 22 / 40.