Question

Со склада отправили в магазин А 15 холодильников, а в магазин В 12 холодильников. При транспортировке могут получить повреждения 2 холодильника из отправленных в магазин А и 3 холодильника из отправленных магазин В. Найти вероятность того, что при случайном выборе холодильников: 1) купленный в магазине А холодильник не повреждён; 2) из пяти купленных в магазине В холодильников повреждён один.

Answer 1

Ответ

1) 13/15

2) 1/5=0,2

 

 

Answer 2

Problem Analysis

We are given that 15 refrigerators were sent from Warehouse to Store A and 12 refrigerators were sent from Warehouse to Store B. During transportation, 2 refrigerators from Store A and 3 refrigerators from Store B may have been damaged. We need to find the probability of the following events: 1) The refrigerator purchased from Store A is not damaged. 2) One of the five refrigerators purchased from Store B is damaged.

Solution

To solve this problem, we need to calculate the probabilities of the two events mentioned above.

Event 1: The refrigerator purchased from Store A is not damaged.

Out of the 15 refrigerators sent to Store A, 2 may have been damaged. Therefore, the number of refrigerators that are not damaged is 15 - 2 = 13. The probability of randomly selecting a refrigerator from Store A that is not damaged is given by:

Probability(Event 1) = Number of refrigerators not damaged in Store A / Total number of refrigerators in Store A

Probability(Event 1) = 13 / 15

Event 2: One of the five refrigerators purchased from Store B is damaged.

Out of the 12 refrigerators sent to Store B, 3 may have been damaged. Therefore, the number of refrigerators that are damaged is 3. The probability of randomly selecting one damaged refrigerator out of the five purchased from Store B is given by:

Probability(Event 2) = Number of damaged refrigerators in Store B / Total number of refrigerators purchased from Store B

Probability(Event 2) = 3 / 5

Final Answer

1) The probability that a refrigerator purchased from Store A is not damaged is 13/15. 2) The probability that one of the five refrigerators purchased from Store B is damaged is 3/5.

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