The probability of choosing [tex]2[/tex] females to attend football game is equal to [tex]\frac{8}{15}[/tex].
" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability [tex]= \frac{n(F)}{n(T)}[/tex]
[tex]n(F) =[/tex] Number of favourable outcomes
[tex]n(T)=[/tex] Total number of outcomes
According to the question,
Given,
Number of females in the office [tex]=8[/tex]
Number of males in the office [tex]=7[/tex]
Therefore,
Total number of employees in the office [tex]= 15[/tex]
Number of employees chooses to attend a football game [tex]= 2[/tex]
Condition: Manger chooses 2 female employees
Substitute the value in the formula to get the probability of choosing [tex]2[/tex] females to attend football game we get,
Required probability [tex]= \frac{8}{15}[/tex]
Hence, the probability of choosing [tex]2[/tex] females to attend football game is equal to [tex]\frac{8}{15}[/tex].
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