Question

Ася,Боря,Вика,Гуля и Дима отправились в поход.Им надо назначить двух дежурных по лагерю.они написали свои имена на одинаковых бумажках.сложили их в пустой рюкзак и вынули наугад две бумажки.какова вероятность того.что дежурить будут 2 мальчика?2 девочки?мальчик и девочка?

Answer 1

будут дежурить мальчик и девочка, так как 2 девочки не смогут потому что ну вдруг там моньяки, 2 мальчика смогут но только кто останится с девочками помогать им.

Answer 2

Дежурить будут 1 маль. и 1дев

Вероятность у девочек 1/3

У мальчиков 1/2

Answer 3

Probability of Selecting 2 Boys as Camp Monitors

To calculate the probability of selecting 2 boys as camp monitors, we can use the concept of combinations. There are 5 people in total, 3 boys (Asya, Boris, and Dima) and 2 girls (Vika and Gulya). The probability can be calculated as follows:

Total number of ways to choose 2 from 5: This can be calculated using the combination formula: nCr = n! / (r! * (n-r)!) Where n is the total number of items, and r is the number of items to choose.

Number of ways to choose 2 boys from 3: This can be calculated using the combination formula as well.

The probability of selecting 2 boys as camp monitors is the number of ways to choose 2 boys from 3 divided by the total number of ways to choose 2 from 5.

Let's calculate the probabilities for each scenario.

Probability of Selecting 2 Boys

The probability of selecting 2 boys as camp monitors is: P(2 boys) = (Number of ways to choose 2 boys from 3) / (Total number of ways to choose 2 from 5)

Using the combination formula: Total number of ways to choose 2 from 5: 5C2 = 5! / (2! * (5-2)!) = 10

Number of ways to choose 2 boys from 3: 3C2 = 3! / (2! * (3-2)!) = 3

So, P(2 boys) = 3 / 10 = 0.3.

Probability of Selecting 2 Girls

The probability of selecting 2 girls as camp monitors is: P(2 girls) = (Number of ways to choose 2 girls from 2) / (Total number of ways to choose 2 from 5)

Using the combination formula: Total number of ways to choose 2 from 5: 5C2 = 10

Number of ways to choose 2 girls from 2: 2C2 = 1

So, P(2 girls) = 1 / 10 = 0.1.

Probability of Selecting 1 Boy and 1 Girl

The probability of selecting 1 boy and 1 girl as camp monitors is: P(1 boy, 1 girl) = 1 - P(2 boys) - P(2 girls) This is because the sum of all probabilities must equal 1.

So, P(1 boy, 1 girl) = 1 - 0.3 - 0.1 = 0.6.

Therefore, the probabilities of selecting 2 boys, 2 girls, and 1 boy and 1 girl as camp monitors are 0.3, 0.1, and 0.6, respectively.