Question

В урне 6 белых и 8 черных шара. Из урны вынимают сразу два шара. Найти вероятность того, что оба шара будут белыми

Answer 1

Ответ: 0,308;

Пошаговое объяснение:

Всего в урне 8 + 6 = 14 шаров

С = 14!/ (2! · (14 - 2)!)= 13 · 14 / 2 = 91;

C1 = 8!/ (2! · (8 - 2)!) = 8 · 7 / 2 = 28;

Искомая вероятность будет:

C1/C = 28/91 = 0,308;

Answer 2

Probability of Drawing Two White Balls from the Urn

To find the probability of drawing two white balls from the urn, we can use the concept of probability and combinations.

The total number of balls in the urn is 6 white balls and 8 black balls, making a total of 14 balls.

The probability of drawing two white balls can be calculated using the formula: Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

The number of favorable outcomes is the number of ways to choose 2 white balls out of 6, and the total number of possible outcomes is the number of ways to choose 2 balls out of 14.

Using the combination formula, the number of ways to choose k items from a set of n items is given by: C(n, k) = n! / (k! * (n - k)!)

So, the probability of drawing two white balls from the urn is: Probability = C(6, 2) / C(14, 2)

Let's calculate this probability.