Question

Подбрасываются два игральных кубика, подечитывается число очков в сумме на верхних гранях. Что вероятнее - получить в сумме 7 или 8?

Answer 1

я думаю что скорее всего будет 8

Answer 2

Probability of getting a sum of 7 or 8 when rolling two dice

When two dice are rolled, the sum of the numbers on the upper faces can range from 2 to 12. To determine which sum is more likely to occur, we need to calculate the probabilities of getting a sum of 7 and a sum of 8.

The probability of getting a sum of 7 can be calculated by counting the number of ways to get a sum of 7 and dividing it by the total number of possible outcomes. Similarly, the probability of getting a sum of 8 can be calculated in the same way.

Let's calculate the probabilities:

- Probability of getting a sum of 7: - There are 6 possible outcomes that result in a sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). - The total number of possible outcomes when rolling two dice is 36, as each die has 6 possible outcomes. - Therefore, the probability of getting a sum of 7 is 6/36, which simplifies to 1/6 or approximately 0.1667.

- Probability of getting a sum of 8: - There are 5 possible outcomes that result in a sum of 8: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). - Therefore, the probability of getting a sum of 8 is 5/36, which simplifies to approximately 0.1389.

Conclusion

Based on the calculations, the probability of getting a sum of 7 (1/6 or approximately 0.1667) is higher than the probability of getting a sum of 8 (5/36 or approximately 0.1389). Therefore, it is more likely to get a sum of 7 when rolling two dice.

Please note that these probabilities assume fair dice and that each outcome is equally likely.