The **probability **of selecting **2 men and a woman** is [tex]\frac{21}{44}[/tex]

The **sample space** is made up of **7 men and 5 women**. So we have a total of **12 people**.

If **3 applicants are randomly selected** without replacement, there will be three **mutually exclusive possibilities**;

[tex]MMW=\text{Event that a Man, then Man, then Woman is selected}\\MWM=\text{Event that a Man, then Woman, then Man is selected}\\WMM=\text{Event that a Woman, then Man, then Man is selected}\\[/tex]

The final **probability **will have the form

[tex]P(\text{2 men and 1 woman})=P(MMW)+P(MWM)+P(WMM)[/tex]

because the possibilities are **mutually exclusive**.

Each **mutually exclusive possibility** is made up of **dependent events**. This is because when selection is done **without replacement**, it affects the size of the **sample space**.

[tex]P(MMW)=\dfrac{7}{12}\times\dfrac{6}{11}\times\dfrac{5}{10}\\\\=\dfrac{7}{44}[/tex]

The[tex]P(MWM)=\dfrac{7}{12}\times\dfrac{5}{11}\times\dfrac{6}{10}\\\\=\dfrac{7}{44}[/tex]

The[tex]P(MWM)=\dfrac{5}{12}\times\dfrac{7}{11}\times\dfrac{6}{10}\\\\=\dfrac{7}{44}[/tex]

Calculate the Probability of getting two men and a womanThe final **probability **is

[tex]P(\text{2 men and 1 woman})=P(MMW)+P(MWM)+P(WMM)\\\\=\dfrac{7}{44}+\dfrac{7}{44}+\dfrac{7}{44}\\\\=\dfrac{21}{44}[/tex]

Learn more about **probability **here https://brainly.com/question/3932712

Please help!! I need to know this by today!

The answer is B. 24. This is because since 72 is 3 times 24, you also have to multiply the triangle by 3. This equals 24.

what is 4 * 6?

I will give 200 dollars

**Answer:**

24

**Explanation:**

The act English test assesses your knowledge

Of ______

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* rhetorical skills

* style and clarity

organization and structure

**Answer:**

The act English test assesses your knowledge

Of ______

Organization and structure
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