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.
Computing the Probability of each possibilityEach 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.
The Probability of selecting a Man, then a Man, then a Woman is[tex]P(MMW)=\dfrac{7}{12}\times\dfrac{6}{11}\times\dfrac{5}{10}\\\\=\dfrac{7}{44}[/tex]
The Probability of selecting a Man, then a Woman, then a Man is[tex]P(MWM)=\dfrac{7}{12}\times\dfrac{5}{11}\times\dfrac{6}{10}\\\\=\dfrac{7}{44}[/tex]
The Probability of selecting a Woman, then a Man, then a Man is[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
what is 4 * 6?
I will give 200 dollars
Answer:
24
Explanation:
The act English test assesses your knowledge
Of ______
* organization and structure
* usage and mechanics
* rhetorical skills
* style and clarity
organization and structure
Answer:
The act English test assesses your knowledge
Of ______
Organization and structurePlease 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.