
Не понимаю как делать,помогите.В случайном эксперименте бросают три игральные кости. Найдите
вероятность того,что сумма выпавших очков равна 5.Результат округлите до тысячных.

Ответы на вопрос




Calculating the Probability of Rolling a Sum of 5 with Three Dice
To find the probability of rolling a sum of 5 with three dice, we need to determine the number of favorable outcomes (the number of ways we can roll a sum of 5) and the total number of possible outcomes (all the different combinations of dice rolls).
Let's break it down step by step:
1. Determine the number of favorable outcomes: - To calculate the number of favorable outcomes, we need to find all the possible combinations of dice rolls that add up to 5. - We can use a systematic approach to list all the possible combinations: - Roll 1: 1, 2, 3, 4, 5, 6 - Roll 2: 1, 2, 3, 4, 5, 6 - Roll 3: 1, 2, 3, 4, 5, 6 - We can see that there are several combinations that add up to 5: - (1, 1, 3), (1, 2, 2), (1, 3, 1), (2, 1, 2), (2, 2, 1), (3, 1, 1) - Therefore, there are 6 favorable outcomes.
2. Determine the total number of possible outcomes: - To calculate the total number of possible outcomes, we need to consider all the different combinations of dice rolls. - Since each dice has 6 possible outcomes (numbers 1 to 6), the total number of possible outcomes for three dice is 6 * 6 * 6 = 216.
3. Calculate the probability: - The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes. - In this case, the probability of rolling a sum of 5 with three dice is 6/216. - To round the result to three decimal places, the probability is approximately 0.028.
Therefore, the probability of rolling a sum of 5 with three dice is approximately 0.028.


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