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Affirmative action commitments by many organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that no woman is selected? Group of answer choices

Respuesta :

Answer: Our required probability is [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Since we have given that

Number of women = 4

Number of men = 6

We need to select two executives such that no woman is selected.

So, Probability that no woman is selected is given by

[tex]\dfrac{^6C_2}{^{10}C_2}\\\\=\dfrac{15}{45}\\\\=\dfrac{1}{3}[/tex]

Hence, our required probability is [tex]\dfrac{1}{3}[/tex]

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