Question

В большой партии насосов в среднем на каждые 475 исправных приходится 25 неисправных насосов . Найти вероятность , что случайный выбранный насос окажется исправным.

Answer 1

475-25=450 исправные насосы
450/475=18/19 --- вероятность того, что выбранный насос будет исправным

Answer 2

Problem Analysis

We are given that in a large party of pumps, on average, for every 475 working pumps, there are 25 faulty pumps. We need to find the probability that a randomly selected pump is working.

Solution

To find the probability that a randomly selected pump is working, we can use the ratio of the number of working pumps to the total number of pumps.

Let's assume that there are a total of x pumps in the party. According to the given information, for every 475 working pumps, there are 25 faulty pumps. This can be expressed as the following equation:

x / 475 = 25 / 25

Simplifying the equation, we get:

x = 475

Therefore, there are a total of 475 pumps in the party.

The probability that a randomly selected pump is working can be calculated by dividing the number of working pumps by the total number of pumps:

Probability of a working pump = Number of working pumps / Total number of pumps

Substituting the values, we get:

Probability of a working pump = 475 / 475 = 1

Therefore, the probability that a randomly selected pump is working is 1 or 100%.

Conclusion

The probability that a randomly selected pump from the party is working is 100%.