Question

Игральную кость бросают дважды. Найдите вероятность того, что оба раза выпало не менее четырех очков.

Answer 1

Всего все возможных исходов: 6*6=36 из них есть благоприятствующие исходы, исход которого состоит в том, что при подбрасывания двух игральных костей оба раза выпадет не менее четырех очков:

{4;4}, {4;5}, {5;4}, {5;5}, {6;5}, {5;6}, {6;6}, {6;4}, {4;6}

Всего благоприятных исходов: 9.

Вероятность того, что при подбрасывания двух игральный костей оба раза выпало не менее четырех очков, равна: $P=\dfrac{9}{36} =\dfrac{1}{4}$

Ответ:$\dfrac{1}{4}.$

Answer 2

Problem Statement

Игральную кость бросают дважды. Найдите вероятность того, что оба раза выпало не менее четырех очков.

Solution

To find the probability that both times at least four points were rolled on the dice, we need to consider all the possible outcomes and count the favorable outcomes.

Let's analyze the possible outcomes for each roll of the dice:

- For the first roll, there are six possible outcomes: 1, 2, 3, 4, 5, and 6. - For the second roll, there are also six possible outcomes: 1, 2, 3, 4, 5, and 6.

To find the favorable outcomes, we need to count the number of outcomes where both rolls result in at least four points.

- If the first roll is 4, 5, or 6, there are three favorable outcomes for the second roll: 4, 5, and 6. - If the first roll is 1, 2, or 3, there are six favorable outcomes for the second roll: 4, 5, and 6.

Therefore, the total number of favorable outcomes is 3 + 6 = 9.

Since each roll has six possible outcomes, the total number of possible outcomes is 6 * 6 = 36.

The probability of both rolls resulting in at least four points is the ratio of the number of favorable outcomes to the number of possible outcomes:

Probability = Favorable outcomes / Total outcomes

Probability = 9 / 36

Simplifying the fraction, we get:

Probability = 1 / 4

Therefore, the probability that both times at least four points were rolled on the dice is 1/4 or 0.25.

Answer

The probability that both times at least four points were rolled on the dice is 1/4 or 0.25.