Question

На полку в случайном порядке поставили три учебника: по физике, химии и математике. Найдите вероятность того, что учебники по физике и химии стоят рядом. Результат округлите до сотых.С ПОДРОБНЫМ РЕШЕНИЕ, ПОЖАЛУЙСТА !!

Answer 1

Всего возможных исходов =3*2*1=6
Желаемые исходы: фхм, мфх, хфм, мхф, т.е. 4.
Вероятность=Желаемые исходы/Возможные=4/6=2/3=0,6666...
Если округлять до сотых, то это будет 0,67.
Ответ: 0,67.
Удачи в решении задач!

Answer 2

Problem Analysis

We are given three textbooks on a shelf: one on physics, one on chemistry, and one on mathematics. We need to find the probability that the textbooks on physics and chemistry are placed next to each other.

Solution

To solve this problem, we need to determine the total number of possible arrangements of the three textbooks and the number of arrangements where the physics and chemistry textbooks are placed next to each other.

Let's consider the physics and chemistry textbooks as a single unit. This means we have two units: the combined physics and chemistry unit and the mathematics textbook. The total number of arrangements of these two units is 2!.

Within the combined physics and chemistry unit, the physics and chemistry textbooks can be arranged in 2! ways.

Therefore, the total number of arrangements where the physics and chemistry textbooks are placed next to each other is 2! * 2!.

To find the probability, we divide the number of favorable outcomes (arrangements where the physics and chemistry textbooks are placed next to each other) by the total number of possible outcomes (total number of arrangements).

Let's calculate the probability.

Calculation

The total number of possible arrangements of the three textbooks is 3!.

3! = 3 * 2 * 1 = 6

The number of arrangements where the physics and chemistry textbooks are placed next to each other is 2! * 2!.

2! * 2! = 2 * 1 * 2 * 1 = 4

Therefore, the probability is given by:

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

Probability = 4 / 6

Probability = 2 / 3

Rounded to the nearest hundredth, the probability is approximately 0.67.

Answer

The probability that the textbooks on physics and chemistry are placed next to each other is approximately 0.67.