Question

В корзине находятся 10 маслят и 3 подосиновика. Из нее наугад берут 5 грибов. Какова вероятность, что среди выбранных грибов окажется 3 масленка и 2 подосиновика?

Answer 1

Вродн 7/2 (но это не тоно)просто мы только начали это в шк проходить

Answer 2

Calculating the Probability of Selecting 3 Chanterelles and 2 Porcini Mushrooms

To calculate the probability of selecting 3 chanterelles and 2 porcini mushrooms from a basket containing 10 chanterelles and 3 porcini mushrooms, we need to consider the total number of ways we can choose 5 mushrooms from the basket.

The total number of ways to choose 5 mushrooms from a basket of 13 (10 chanterelles + 3 porcini mushrooms) is given by the combination formula:

C(n, r) = n! / (r!(n-r)!)

Where: - n is the total number of items in the set (13 in this case) - r is the number of items to be chosen (5 in this case) - ! denotes the factorial operation

Using this formula, we can calculate the total number of ways to choose 5 mushrooms from the basket:

C(13, 5) = 13! / (5!(13-5)!) = 1287

Now, let's calculate the number of ways to choose 3 chanterelles and 2 porcini mushrooms from the basket:

C(10, 3) = 10! / (3!(10-3)!) = 120

C(3, 2) = 3! / (2!(3-2)!) = 3

To calculate the probability, we divide the number of favorable outcomes (choosing 3 chanterelles and 2 porcini mushrooms) by the total number of possible outcomes (choosing any 5 mushrooms from the basket):

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

Probability = (C(10, 3) * C(3, 2)) / C(13, 5) = (120 * 3) / 1287 ≈ 0.278

Therefore, the probability of selecting 3 chanterelles and 2 porcini mushrooms from the basket is approximately 0.278, or 27.8%.

Please note that the above calculation assumes that each mushroom is equally likely to be chosen and that the selection is made randomly.