Question

Помогите решить! В соревнованиях по бегу участвуют 20 перворазрядников и 5 мастеров спорта. На стартовую позицию наугад последовательно вызываются два участника. Найти вероятность того, что оба участника соревнований мастера спорта.

Answer 1

Вот ответ
$5/25=0,2$

Answer 2

Probability of Both Participants Being Masters of Sport

To find the probability that both participants selected are Masters of Sport, we need to calculate the ratio of the number of favorable outcomes (both participants being Masters of Sport) to the total number of possible outcomes.

Given that there are 20 first-class athletes and 5 Masters of Sport participating in the race, the total number of participants is 25.

The probability of the first participant being a Master of Sport is 5/25, as there are 5 Masters of Sport out of 25 participants.

After the first participant is selected, there are 4 Masters of Sport remaining out of 24 participants. Therefore, the probability of the second participant being a Master of Sport is 4/24.

To find the probability of both participants being Masters of Sport, we multiply the probabilities of each event occurring:

Probability = (5/25) * (4/24)

Simplifying this expression, we get:

Probability = 1/30

Therefore, the probability that both participants selected are Masters of Sport is 1/30.