Question

Евгений и Павел по очереди подбрасывали два игральных кубика.Если сумма выпавших очков оказывалась 7,то очко получал Евгений,а если сумма равнялась 8,то выигрывал Павел.У кого из них больше шанс первым набрать 20 очков ?

Answer 1

Если начинал Евгений то он победит первым потому что
Е-П-Е-П а потом Е и он победил так как 7+7+7=21
Е-Евгений
П-Павел
А если начнет Павел то он и в
Победит так как
8+8+8=24

Answer 2

Probability of Winning for Evgeny and Pavel

Evgeny and Pavel take turns rolling two dice. If the sum of the dice is 7, Evgeny gets a point, and if the sum is 8, Pavel gets a point. We want to determine who has a better chance of reaching 20 points first.

To solve this problem, we can calculate the probabilities of Evgeny and Pavel winning on each turn and then use these probabilities to determine who has a better chance of reaching 20 points first.

Calculating Probabilities

The probability of rolling a sum of 7 with two dice is 6/36, as there are 6 ways to roll a sum of 7 out of 36 possible outcomes. Similarly, the probability of rolling a sum of 8 is 5/36.

Analyzing the Results

We can use these probabilities to calculate the likelihood of Evgeny and Pavel winning on each turn and then determine who has a better chance of reaching 20 points first.

Conclusion

Based on the probabilities, it seems that Evgeny has a slightly better chance of reaching 20 points first, as the probability of rolling a sum of 7 is slightly higher than the probability of rolling a sum of 8.