Question

Задание 5 класса Пожалуйста, очень нужно подробное & пошаговое решение❗️ Бросают одну игральную кость. Вычислите вероятность события: а) выпало очко 3; б) выпавшее число очков является составным числом; в) выпало очко 7

Answer 1

Ответ:

Пошаговое объяснение:

а) 1/6. У кости 6 граней, очко 3 на одной.

б) 2/6=1/3. У кости 6 граней, на них 2 составных числа (4 и 6)

в) 0. На кости нет цифры 7.

Answer 2

Task: Probability of Outcomes with a Single Die

To solve this problem, we need to calculate the probability of three different events: a) The die rolls a 3. b) The number rolled is a composite number. c) The die rolls a 7.

Let's calculate the probability for each event step by step.

a) Probability of rolling a 3

To calculate the probability of rolling a 3, we need to determine the number of favorable outcomes (rolling a 3) and the total number of possible outcomes when rolling a single die.

- Favorable outcomes: There is only one favorable outcome, which is rolling a 3. - Total possible outcomes: When rolling a single die, there are six possible outcomes (numbers 1 to 6).

Therefore, the probability of rolling a 3 is 1/6.

b) Probability of rolling a composite number

To calculate the probability of rolling a composite number, we need to determine the number of favorable outcomes (rolling a composite number) and the total number of possible outcomes when rolling a single die.

- Favorable outcomes: A composite number is any number greater than 1 that is divisible by numbers other than 1 and itself. In the case of a single die, the composite numbers are 4, 6. - Total possible outcomes: When rolling a single die, there are six possible outcomes (numbers 1 to 6).

Therefore, the probability of rolling a composite number is 2/6 or 1/3.

c) Probability of rolling a 7

To calculate the probability of rolling a 7, we need to determine the number of favorable outcomes (rolling a 7) and the total number of possible outcomes when rolling a single die.

- Favorable outcomes: There is only one favorable outcome, which is rolling a 7. Since the maximum number on a single die is 6, it is not possible to roll a 7. - Total possible outcomes: When rolling a single die, there are six possible outcomes (numbers 1 to 6).

Therefore, the probability of rolling a 7 is 0/6 or 0.

In summary: - The probability of rolling a 3 is 1/6. - The probability of rolling a composite number is 1/3. - The probability of rolling a 7 is 0.

Please let me know if you need any further clarification or assistance!