Question

В ЯЩИКЕ НАХОДИТСЯ 4 белых и 1 черный шар. Наугад вынимают 2 шара. Найти вероятность того, что вынуты 2 белых шара

Answer 1

Больше 50%, так как будь 2 белых и 2 черных, шанс был бы 50 на 50

Answer 2

Problem Statement

В ящике находится 4 белых и 1 черный шар. Наугад вынимают 2 шара. Найти вероятность того, что вынуты 2 белых шара.

Solution

To find the probability of drawing 2 white balls, we need to calculate the ratio of the number of favorable outcomes to the total number of possible outcomes.

Let's break down the problem step by step:

Step 1: Calculate the total number of possible outcomes. Since we are drawing 2 balls from a total of 5 balls, the total number of possible outcomes can be calculated using the combination formula:

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

Where N is the total number of balls and n is the number of balls drawn.

In this case, N = 5 (4 white balls + 1 black ball) and n = 2 (2 balls drawn).

C(5, 2) = 5! / (2!(5-2)!) = 10

So, there are a total of 10 possible outcomes.

Step 2: Calculate the number of favorable outcomes. To find the number of favorable outcomes, we need to consider the different combinations of drawing 2 white balls from the 4 white balls available.

C(4, 2) = 4! / (2!(4-2)!) = 6

So, there are 6 favorable outcomes.

Step 3: Calculate the probability. The probability of drawing 2 white balls can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

P = favorable outcomes / total outcomes = 6 / 10 = 0.6

Therefore, the probability of drawing 2 white balls is 0.6 or 60%.

Answer

The probability of drawing 2 white balls from the box, which contains 4 white balls and 1 black ball, is 0.6 or 60%.