Question

В случайном эксперименте бросают две игральные кости. Найдите вероятность того, что в сумме выпадет 4 очка. Результат округлите до сотых. 25 баллов! Из сборников к ЕГЭ. как решать, подскажите?

Answer 1

Формула нахождения вероятности: P(A)=m:n
где A — интересующее нас событие,
m — благоприятные элементарные исходы,
n — общее количество исходов.
Благоприятные исходы, когда в сумме выпадет 4очка:
1+3
2+2
3+1, т.е m=3
Общее количество исходов у одной игральной кости равно 6, так как кидаем два кубика то общее число исходов равно n=6·6 = 36.
 P(A)=m:n=3/36=0,08

Answer 2

Finding the Probability of Rolling a Sum of 4 with Two Dice

To find the probability of rolling a sum of 4 with two dice, we need to determine the number of favorable outcomes (the sum of the dice is 4) and the total number of possible outcomes.

Let's break down the problem step by step:

Step 1: Determine the number of favorable outcomes

To find the number of favorable outcomes, we need to identify all the possible combinations of two dice that add up to 4. Here are the possible combinations:

- (1, 3) - (2, 2) - (3, 1)

So, there are three favorable outcomes.

Step 2: Determine the total number of possible outcomes

To find the total number of possible outcomes, we need to consider all the possible combinations of two dice. Since each die has six sides, there are 6 possible outcomes for each die. Therefore, the total number of possible outcomes is 6 * 6 = 36.

Step 3: Calculate the probability

The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the probability of rolling a sum of 4 is:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes) = 3 / 36 = 1 / 12 ≈ 0.0833 (rounded to the nearest hundredth).

Therefore, the probability of rolling a sum of 4 with two dice is approximately 0.08.

I hope this helps! Let me know if you have any further questions.