Question

В студенческой группе 10 дружинников. Среди них трое в возрасте 18–19 лет, пятеро – от 20 до 22 лет, двое – от 23 до 24. Путём жеребьёвки из дружинников должен быть выбран один человек на дежурство. Какова вероятность того, что его возраст окажется от 18 до 22 лет. Нужно полное решение, пожалуйста)

Answer 1

3+5=8 (это 3 человека с 18-19 лет + 5 человек с 20-22 лет)
8:10=0,8 - вероятность

Answer 2

Всего дежурных 10 человек.

из них 18-22 года 3+5=8 человек

Следовательно вероятность 8 из 10, т.е. 8/10 или 0,8 или 80%

Answer 3

Problem Analysis

We have a group of 10 people, with 3 of them aged 18-19, 5 aged 20-22, and 2 aged 23-24. We need to find the probability of selecting someone for duty whose age is between 18 and 22.

Solution

To find the probability, we need to calculate the number of favorable outcomes (people aged 18-22) and divide it by the total number of possible outcomes (the total number of people in the group).

The number of favorable outcomes is the sum of the number of people aged 18-19 and the number of people aged 20-22.

Let's calculate the probability step by step:

1. Calculate the number of favorable outcomes: - Number of people aged 18-19: 3 - Number of people aged 20-22: 5 - Total number of favorable outcomes: 3 + 5 = 8

2. Calculate the total number of possible outcomes: - Total number of people in the group: 10

3. Calculate the probability: - Probability = Number of favorable outcomes / Total number of possible outcomes - Probability = 8 / 10 - Probability = 0.8 or 80%

Therefore, the probability of selecting someone for duty whose age is between 18 and 22 is 80%.

Conclusion

The probability of selecting someone for duty whose age is between 18 and 22 in the group of 10 people is 80%.