Question

5. На чемпионате по прыжкам в воду приехали 7 спортсменов из США, 3 из Швеции, 4из Мексики,6 из Германии. Порядок выступлений определяется жеребьёвкой. Найдите вероятность того, что первыми будет выступать не мексиканец и не американец.

Answer 1

To find the probability that a non-Mexican and non-American athlete will perform first in the diving championship, we need to calculate the total number of possible outcomes and the number of favorable outcomes.

Total Number of Possible Outcomes:

There are a total of 7 athletes from the USA, 3 athletes from Sweden, 4 athletes from Mexico, and 6 athletes from Germany. Therefore, the total number of athletes participating in the championship is 7 + 3 + 4 + 6 = 20.

Number of Favorable Outcomes:

To calculate the number of favorable outcomes, we need to determine the number of athletes who are not from Mexico or the USA. Since there are 4 athletes from Mexico and 7 athletes from the USA, the number of athletes who are not from Mexico or the USA is 20 - 4 - 7 = 9.

Calculating the Probability:

The probability of a non-Mexican and non-American athlete performing first can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Plugging in the values, we get:

Probability = 9 / 20

Therefore, the probability that a non-Mexican and non-American athlete will perform first in the diving championship is 9/20.