Question

Студент сдаёт в сессию три экзамена.Вероятность того,что студент сдаст на положительную оценку один (любой) экзамен равна 0,8. Тогда вероятность того,что студент сдаст на положительную оценку хотя бы один экзамен равна?

Answer 1

0,8=80% сдачи т.е. 100%-80%=20% или 0.2  
0.2*0.2*0.2=0.008 шанс не сдачи трех предметов
1-0.008=0.992 или 99,2% шанс сдачи

Answer 2

Probability of Passing at Least One Exam

To calculate the probability of a student passing at least one exam, we can use the complement rule. The complement rule states that the probability of an event not happening is 1 minus the probability that it does happen. In this case, the event of interest is the student passing at least one exam.

Given that the probability of passing any one exam is 0.8 we can calculate the probability of not passing any exam as:

P(not passing any exam) = 1 - 0.8 = 0.2

Therefore, the probability of the student passing at least one exam is:

P(passing at least one exam) = 1 - P(not passing any exam) = 1 - 0.2 = 0.8

So, the probability of the student passing at least one exam is 0.8.