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A jury of 16 people is selected from 34 people: 17 women and 17 men. What is the probability (to the nearest ten-thousandth) that the jury will have 8 men and 8 women?

Respuesta :

Data:

• Selected: 16, ,people

,

• Total: 34 people

,

• Women: 17

,

• Men: 17

,

• Probability of 8 men and 8 women.

Procedure:

1. Calculating for one gender:

[tex]17C8=24310[/tex]

As it is two genders, then:

[tex]24310\cdot24310=5.91\cdot10^8[/tex]

2. Calculating the number of random juries:

[tex]34C16=2.20\cdot10^9[/tex]

Calculating the probability:

[tex]\frac{17C8\cdot17C8}{34C16}\approx0.2681[/tex]

Answer: 0.2681

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