mayatatum9809 mayatatum9809
  • 16-07-2021
  • Mathematics
contestada

A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.

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Cricetus
Cricetus Cricetus
  • 16-07-2021

Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= [tex]P(6 \ males)+ P(7 \ males)[/tex]

= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]

= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]

= [tex]\frac{16870425}{30421755}[/tex]

= [tex]0.5545[/tex]

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