Question

В коробке находятся 4 красных и 6 зеленых карандашей. Из нее случайно выпали 3 карандаша. Какова вероятность того, что два из них окажутся красными?

Answer 1

МАлая  вероятность  скорее  всего  зелёные 

Answer 2

Calculating the Probability of Drawing Two Red Pencils

To calculate the probability of drawing two red pencils from the box, we can use the formula:

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

In this case, the number of favorable outcomes is the number of ways to choose 2 red pencils out of the 4 red pencils, and the total number of possible outcomes is the number of ways to choose 3 pencils out of the total 10 pencils.

Applying the Formula

Using the formula, the probability can be calculated as follows:

Number of favorable outcomes: - Choosing 2 red pencils out of 4 red pencils can be calculated using combinations. This is denoted as "4 choose 2" and can be calculated as C(4, 2) = 6.

Total number of possible outcomes: - Choosing 3 pencils out of 10 pencils can be calculated using combinations. This is denoted as "10 choose 3" and can be calculated as C(10, 3) = 120.

Calculating the Probability

Now, we can calculate the probability using the formula:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes) Probability = 6 / 120 Probability = 0.05

Therefore, the probability of drawing two red pencils from the box is 0.05 or 5%.