Question

На тарелке лежат 5 пирожков с разными начинками: земляникой, малиной, смородиной, вишней и абрикосом. Миша, Алена, Валерий, Марина и Катя случайным образом берут себе по пирожку. Найдите вероятность того, что пирожок с вишней достанется мальчику.

Answer 1

с вишней наверно Валерию я конечно не знаю

Answer 2

Problem Analysis

We are given a plate with 5 pastries, each with a different filling: strawberry, raspberry, blackcurrant, cherry, and apricot. Five people, Misha, Alena, Valery, Marina, and Katya, randomly choose one pastry each. We need to find the probability that the cherry pastry will be chosen by a boy.

Solution

To find the probability, we need to determine the total number of possible outcomes and the number of favorable outcomes.

The total number of possible outcomes is the number of ways the 5 pastries can be distributed among the 5 people. Since each person can choose any pastry, the total number of possible outcomes is 5! (5 factorial), which is equal to 120.

The number of favorable outcomes is the number of ways the cherry pastry can be chosen by a boy. Since there are 5 people and each person can choose one pastry, the number of ways the cherry pastry can be chosen by a boy is 1.

Therefore, the probability that the cherry pastry will be chosen by a boy is 1/120.

Answer

The probability that the pastry with cherry filling will be chosen by a boy is 1/120.