Question

В шкафу три пары ботинок с 40 по 42 размеры. Найди вероятность, что два взятых наугад ботинка окажутся парными.​

Answer 1

Ответ:

1/5

Пошаговое объяснение

Answer 2

Calculating the Probability of Drawing a Matching Pair of Shoes

To calculate the probability of drawing two matching shoes from the three pairs in the closet, we can use the concept of combinations.

Total Possible Outcomes: The total number of ways to choose 2 shoes out of 6 (3 pairs) is given by the combination formula: nCr = n! / (r! * (n-r)!) where n is the total number of items, and r is the number of items to choose.

Number of Favorable Outcomes: The number of ways to choose 2 shoes of the same size from each pair is 3.

Calculation

Using the combination formula, the probability of drawing two matching shoes can be calculated as follows:

Total Possible Outcomes: 6 shoes (3 pairs) choose 2 = 6! / (2! * (6-2)!) = 15

Number of Favorable Outcomes: 3 pairs = 3

Probability: Number of Favorable Outcomes / Total Possible Outcomes = 3 / 15 = 1/5

Therefore, the probability that two randomly drawn shoes will be a matching pair is 1/5.