Question

Игральную кость бросают 2 раза найдите вероятность того , что сумма выпавших чисел равна 4 или 9. ответ округлите до сотых

Answer 1

Выигрышные варианты - 1 и 3    2 и 2   6 и 3  5 и 4   3 и 6   всего 5
возможных вариантов 36
вероятность = 5 \ 36 = 0.14

Answer 2

Finding the Probability of Rolling a Sum of 4 or 9 with Two Dice

To find the probability of rolling a sum of 4 or 9 with two dice, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Let's break it down:

- Favorable outcomes for a sum of 4: To get a sum of 4, we can have the following combinations: (1, 3), (2, 2), and (3, 1). This gives us a total of 3 favorable outcomes.

- Favorable outcomes for a sum of 9: To get a sum of 9, we can have the following combinations: (3, 6), (4, 5), (5, 4), and (6, 3). This gives us a total of 4 favorable outcomes.

- Total number of possible outcomes: When rolling two dice, each die has 6 possible outcomes (numbers 1 to 6). Since we are rolling two dice, the total number of possible outcomes is 6 * 6 = 36.

Now, we can calculate the probability:

- Probability of rolling a sum of 4: The probability is given by the number of favorable outcomes divided by the total number of possible outcomes. So, the probability of rolling a sum of 4 is 3/36 = 1/12.

- Probability of rolling a sum of 9: Similarly, the probability of rolling a sum of 9 is 4/36 = 1/9.

Therefore, the probability of rolling a sum of 4 or 9 is the sum of the individual probabilities:

1/12 + 1/9 = 3/36 + 4/36 = 7/36.

Rounded to the nearest hundredth, the probability is approximately 0.19.

Please note that the above calculations assume fair six-sided dice.