Question

Помогите решить!!!!!!!!!!В группе туристов 5 человек. С помощью жребия они выбирают двух человек, которые должны идти в село за продуктами.Турист А хотел бы сходить в магазин, но он подчиняется жребию.Какова вероятность того, что А пойдет в магазин?

Answer 1

2/5, ведь их пятеро и шанс каждого равен

Answer 2

40%  (100/5*2=40) или 2/5 т.к выбирают двоих

Answer 3

Problem Analysis

A group of 5 tourists needs to select 2 people to go to the village for groceries using a lottery system. Tourist A wants to go to the store but is subject to the lottery. We need to determine the probability that Tourist A will go to the store.

Solution

To find the probability, we need to calculate the number of favorable outcomes (Tourist A going to the store) and divide it by the total number of possible outcomes.

The total number of possible outcomes can be calculated using combinations. We need to select 2 people from a group of 5, which can be represented as "5 choose 2" or C(5, 2). The formula for combinations is:

C(n, r) = n! / (r! * (n-r)!)

where n is the total number of items and r is the number of items to be selected.

Let's calculate the total number of possible outcomes:

C(5, 2) = 5! / (2! * (5-2)!) = 10

Now, we need to calculate the number of favorable outcomes, which is the number of ways Tourist A can be selected along with another person. Since Tourist A is fixed, we need to select 1 person from the remaining 4. This can be represented as "4 choose 1" or C(4, 1).

Let's calculate the number of favorable outcomes:

C(4, 1) = 4! / (1! * (4-1)!) = 4

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

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

Probability = 4 / 10 = 0.4

Therefore, the probability that Tourist A will go to the store is 0.4 or 40%.

Answer

The probability that Tourist A will go to the store is 40%