Question

В ящике 5 белых и 3 черных шара. Наугад вынимают три шара. Какова вероятность того, что среди них две белых и одна черная шара?

Answer 1

Ответ:

Возможно так, но не знаю правильно или нет

Пошаговое объяснение:

Answer 2

Probability of Drawing Two White and One Black Ball

To calculate the probability of drawing two white balls and one black ball from the box, we can use the concept of combinations. The formula for calculating the probability of an event is:

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

Let's calculate the probability step by step.

1. Total Number of Possible Outcomes: - When drawing three balls from the box, the total number of possible outcomes can be calculated using combinations. - The total number of ways to choose 3 balls out of 8 (5 white and 3 black) is given by the combination formula: - C(n, r) = n! / (r! * (n-r)!) - Where n is the total number of items, and r is the number of items to choose. - In this case, n = 8 (total number of balls) and r = 3 (balls to be drawn).

Total Number of Possible Outcomes = C(8, 3)

2. Number of Favorable Outcomes: - The number of favorable outcomes is the number of ways to choose 2 white balls out of 5 and 1 black ball out of 3. - This can also be calculated using combinations.

Number of Favorable Outcomes = C(5, 2) * C(3, 1)

3. Calculating the Probability: - Now, we can use the formula to calculate the probability of drawing two white balls and one black ball.

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

Let's calculate the values and find the probability.