Question

Три подруги Аня, Вера и Маша отправились в тег гр. Получив в гардеробе номерки за три сданных пальто, они сложили их рместе. По окончании спектакля каждая из подруг взяла наугад один номерок и получила по нему паль го. Какова вероятность того, что:а) только Аня получила свое пальто; б) Вера не получила своего пальто?

Answer 1

А)33
Б)33
Это не точно ,но я так думаю

Answer 2

а) Аня взяла правильный номерок а остальные нет

б)Она просто не могла получить своего пальта потому что 2 из них получили

Answer 3

Probability of Friends Getting Their Coats Back at the Theater

Let's calculate the probability of the different scenarios based on the given information.

Given: - Three friends, Anya, Vera, and Masha, checked in their coats at the theater and received claim checks for them. - After the show, each friend randomly took a claim check and retrieved the corresponding coat.

Calculating the Probability:

a) Only Anya got her coat back: To calculate the probability of only Anya getting her coat back, we can use the concept of permutations. The total number of ways the friends can retrieve their coats is 3! (3 factorial), which equals 6. Out of these, only 1 arrangement results in only Anya getting her coat back. Therefore, the probability is 1/6.

b) Vera didn't get her coat back: To calculate the probability of Vera not getting her coat back, we can use the concept of combinations. The total number of ways the friends can retrieve their coats is 3! (3 factorial), which equals 6. Out of these, there are 2 arrangements where Vera doesn't get her coat back (Anya and Masha exchange coats, Masha and Anya exchange coats). Therefore, the probability is 2/6, which simplifies to 1/3.

Conclusion: a) The probability of only Anya getting her coat back is 1/6. b) The probability of Vera not getting her coat back is 1/3.