Question

В чемпионате мира участвуют 10 команд. С помощью жребия их нужно разделить на пять групп по две команды в каждой. В ящике вперемешку лежат карточки с номерами групп: 1, 1, 2, 2, 3, 3, 4, 4, 5, 5. Капитаны команд тянут по одной карточке. Какова вероятность того, что командаКанады окажется в пятой группе?

Answer 1

Понятно, что можно попасть в любую группу с равными шансами. Тогда искомая вероятность = 1/5 = 0,2

Answer 2

Probability of Canada being in the fifth group

To calculate the probability of the Canadian team being in the fifth group, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Given that there are 10 teams participating in the World Cup and they need to be divided into five groups with two teams in each group, we can calculate the total number of possible outcomes using combinatorics.

The total number of possible outcomes can be calculated using the formula for combinations:

Total number of possible outcomes = C(n, r) = n! / (r!(n-r)!)

Where: - n is the total number of teams (10 in this case) - r is the number of teams in each group (2 in this case)

Using this formula, we can calculate the total number of possible outcomes:

Total number of possible outcomes = C(10, 2) = 10! / (2!(10-2)!) = 45

Now, let's determine the number of favorable outcomes, which is the number of ways the Canadian team can be in the fifth group.

From the given information, we know that there are five groups, and each group is represented by a card with a number. The Canadian team needs to draw a card with the number 5 to be in the fifth group.

To calculate the number of favorable outcomes, we need to determine the number of ways the Canadian team can draw the card with the number 5.

From the search results, we can see that the number of cards for each group is as follows: 1, 1, 2, 2, 3, 3, 4, 4, 5, 5.

Therefore, the number of favorable outcomes is 1, as there is only one card with the number 5.

Now, we can calculate the probability of the Canadian team being in the fifth group:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 45 ≈ 0.0222

Therefore, the probability of the Canadian team being in the fifth group is approximately 0.0222 or 2.22%.

Please note that the above calculation assumes that the drawing of the cards is random and unbiased.