Question

В турестической группе 7 женщин и 3 мужчин. случайным образом отобрали три человека найти вероятность того что все трое окажутся мужчинами

Answer 1

Крч эта вероятность становится 1 к 100000

Answer 2

Calculating the Probability of Selecting Three Men from a Tourist Group

To calculate the probability of randomly selecting three men from a tourist group consisting of 7 women and 3 men, we can use the concept of combinations.

Step 1: Calculate the Total Number of Ways to Choose 3 People from the Group

The total number of ways to choose 3 people from a group of 10 (7 women + 3 men) can be calculated using the combination formula:

nCr = n! / (r! * (n-r)!)

Where: - n = total number of people in the group - r = number of people to be chosen - ! denotes factorial

Using this formula, we can find the total number of ways to choose 3 people from the group.

Step 2: Calculate the Number of Ways to Choose 3 Men from the Group

The number of ways to choose 3 men from the group of 3 men can be calculated using the combination formula as well.

Step 3: Calculate the Probability

Finally, we can calculate the probability of selecting three men from the group by dividing the number of ways to choose 3 men from the group by the total number of ways to choose 3 people from the group.

Probability Calculation

Step 1: Total Number of Ways to Choose 3 People from the Group The total number of ways to choose 3 people from a group of 10 can be calculated as follows: 10C3 = 10! / (3! * (10-3)!)

Using the formula, we find that 10C3 = 120.

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Step 2: Number of Ways to Choose 3 Men from the Group The number of ways to choose 3 men from the group of 3 men can be calculated as follows: 3C3 = 3! / (3! * (3-3)!)

Using the formula, we find that 3C3 = 1.

Step 3: Calculate the Probability The probability of selecting three men from the group can be calculated as: P = (Number of ways to choose 3 men) / (Total number of ways to choose 3 people)

Substituting the values, we get: P = 1 / 120 = 1/120

Therefore, the probability of randomly selecting three men from the tourist group is 1/120.

This means that there is a 1 in 120 chance of selecting three men from the group of 10 people.

I hope this helps! If you have further questions, feel free to ask.