Question

На полке лежат 4 одинаковые тетради - 2 с синей обложкой и 2 с зеленой. Наугад берутся 2 тетради. Какова вероятность того, что будут взяты 2 тетради с синей обложкой? 2 тетради с зеленой обложкой?тетради с обложками разного цвета?

Answer 1

Сделал вроде.=========>>>++

Answer 2

Probability of selecting 2 notebooks with blue covers:

To calculate the probability of selecting 2 notebooks with blue covers, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is the number of ways to choose 2 notebooks from the 4 available notebooks. This can be calculated using the combination formula:

Total number of possible outcomes = C(4, 2) = 6.

The number of favorable outcomes is the number of ways to choose 2 notebooks with blue covers from the 2 available blue notebooks. This can be calculated using the combination formula as well:

Number of favorable outcomes = C(2, 2) = 1.

Therefore, the probability of selecting 2 notebooks with blue covers is:

Probability = Number of favorable outcomes / Total number of possible outcomes = 1 / 6 = 1/6.

Probability of selecting 2 notebooks with green covers:

Similarly, to calculate the probability of selecting 2 notebooks with green covers, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is still the number of ways to choose 2 notebooks from the 4 available notebooks, which is 6.

The number of favorable outcomes is the number of ways to choose 2 notebooks with green covers from the 2 available green notebooks, which is 1.

Therefore, the probability of selecting 2 notebooks with green covers is:

Probability = Number of favorable outcomes / Total number of possible outcomes = 1 / 6 = 1/6.

Probability of selecting 2 notebooks with different colored covers:

To calculate the probability of selecting 2 notebooks with different colored covers, we need to consider the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is still the number of ways to choose 2 notebooks from the 4 available notebooks, which is 6.

The number of favorable outcomes is the number of ways to choose 1 notebook with a blue cover and 1 notebook with a green cover. This can be calculated by multiplying the number of ways to choose 1 notebook with a blue cover (2) by the number of ways to choose 1 notebook with a green cover (2):

Number of favorable outcomes = 2 * 2 = 4.

Therefore, the probability of selecting 2 notebooks with different colored covers is:

Probability = Number of favorable outcomes / Total number of possible outcomes = 4 / 6 = 2/3.

Please note that these calculations assume that each notebook is equally likely to be chosen and that the selection is made randomly.