Respuesta :
Answer:
Step-by-step explanation:
Given
No of People who can speak English is [tex]n(E)=68[/tex]
No of People who can speak French is [tex]n(F)=45[/tex]
No of People who can speak Spanish is [tex]n(S)=42[/tex]
No of People who can speak both English and French [tex]n\left ( E\cap F\right )=27[/tex]
No of People who can speak both English and Spanish [tex]n\left ( E\cap S\right )=25[/tex]
No of People who can speak both French and Spanish [tex]n\left ( F\cap S\right )=16[/tex]
No of people who can speak all languages is [tex]n\left ( E\cap F\cap S\right )=9[/tex]
no of People who can Speak at least one Language is
[tex]n\left ( E\cup F\cup S\right )=n\left ( E\right )+n\left ( F\right )+n\left ( S\right )-n\left ( E\cap F\right )-n\left ( E\cap S\right )-n\left ( F\cap S\right )+n\left ( E\cap F\cap S\right )[/tex]
[tex]n\left ( E\cup F\cup S\right )=68+45+42-27-25-16+9=96[/tex]
Probability that Randomly selected can speak at least 1 of these languages
[tex]P=\frac{96}{100}=0.96[/tex]
