Question

Штангист Иванов проигрывает соревнования в 2-х случаях: либо он находится в плохой спортивной форме либо получит травму на соревнованиях. Наличие плохой спортивной формы определяется вероятностью 0,4 , а вероятность того, что он не получит травму на соревнованиях, равна 0,9. Найти вероятность проигрыша Иванова на очередных соревнованиях.

Answer 1

(1 - 0.9) + 0.9 * 0.4 = 0.1 + 0.36 = 0.46

Ответ: 0.46

Answer 2

Problem Statement

Штангист Иванов проигрывает соревнования в двух случаях: либо он находится в плохой спортивной форме, либо получает травму на соревнованиях. Вероятность наличия плохой спортивной формы составляет 0,4, а вероятность того, что он не получит травму на соревнованиях, равна 0,9. Найдем вероятность проигрыша Иванова на очередных соревнованиях.

Solution

To find the probability of Ivanov losing in the next competition, we need to consider the two possible scenarios: Ivanov being in poor athletic form or Ivanov getting injured during the competition.

Let's denote the event of Ivanov being in poor athletic form as A and the event of Ivanov getting injured during the competition as B.

We are given the following probabilities: - P(A) = 0.4 (probability of Ivanov being in poor athletic form) - P(not B) = 0.9 (probability of Ivanov not getting injured)

We need to find the probability of Ivanov losing, which can be calculated using the law of total probability.

The law of total probability states that for any event C, the probability of C can be calculated by summing the probabilities of C given each possible condition.

In this case, the event C is Ivanov losing, and the possible conditions are Ivanov being in poor athletic form (A) or Ivanov not getting injured (not B).

Therefore, the probability of Ivanov losing (P(C)) can be calculated as follows:

P(C) = P(C|A) * P(A) + P(C|not B) * P(not B)

Since the question does not provide the conditional probabilities P(C|A) and P(C|not B), we cannot calculate the exact probability of Ivanov losing. We would need additional information to determine these conditional probabilities.

However, we can provide a general formula for calculating the probability of Ivanov losing based on the given information:

P(C) = P(C|A) * 0.4 + P(C|not B) * 0.9

Please note that without the specific values for P(C|A) and P(C|not B), we cannot provide an exact probability for Ivanov losing on the next competition.