Question

В магазине стоят два платёжных автомата. Срочно!!!! Первый автомат может быть неисправен с вероятностью 0,15, а второй - с вероятностью 0,26. Найдите вероятность того, что хотя бы один автомат исправен. Спасибо ❤❤❤

Answer 1

Ответ:

0,961

Объяснение:

вероятность, что оба автомата неисправны (первый неисправен и второй неисправен) 0,15·0,26=0,039

вероятность, что хотя бы один автомат исправен 1-0,039=0,961

Answer 2

Calculating the Probability of at Least One Working ATM

To calculate the probability of at least one ATM being operational, we can use the complement rule, which states that the probability of an event occurring is 1 minus the probability of the event not occurring.

Let's denote: - A as the event that the first ATM is operational - B as the event that the second ATM is operational

The probability of at least one ATM being operational can be calculated using the formula: P(A or B) = P(A) + P(B) - P(A and B)

Where: - P(A) = Probability that the first ATM is operational - P(B) = Probability that the second ATM is operational - P(A and B) = Probability that both ATMs are operational

Calculating the Individual Probabilities

The given probabilities are: - P(A) = 0.15 (probability that the first ATM is operational) - P(B) = 0.26 (probability that the second ATM is operational)

Applying the Formula

Using the formula, we can calculate the probability of at least one ATM being operational.

P(A or B) = 0.15 + 0.26 - P(A and B)

Calculating P(A and B)

To calculate P(A and B), we need to know the probability that both ATMs are operational. However, this information is not provided in the question.

Conclusion

Without the probability of both ATMs being operational, we cannot calculate the exact probability of at least one ATM being operational. If the probability of both ATMs being operational is provided, we can calculate the final probability using the formula mentioned above.