60 paintings. T= Painting from 20th century. B= British painting. A painting is chosen random.it is from the 20 century. Work out the probability it is British

Respuesta :

The probability will be "0.20".

According to the question,

  • The sum of all the areas = 60

then,

  • [tex]x(x-2)+x+(2x+8)+10=60[/tex]
  • [tex]x=6[/tex]

Therefore,

→ [tex]P (British | It's \ from \ the \ 20^{th} \ century) = \frac{n(B \ and \ T)}{n(T)}[/tex]

                                                                 [tex]= \frac{x}{x+x(x-2)}[/tex]

                                                                 [tex]= \frac{6}{6+6(6-2)}[/tex]

                                                                 [tex]= \frac{1}{5}[/tex]

                                                                 [tex]= 0.20[/tex]

Thus the answer above is right.                                                  

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