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Jeremy has 10 socks. 6 of the socks are red 2 of the socks are blue 2 of the socks are green Jeremy takes at random two of the socks. Work out the probability that he takes two socks of the same colour.

Respuesta :

  • R=6
  • B=2
  • G=2

ATQ

[tex]\\ \sf\longmapsto R+B+G=10[/tex]

[tex]\\ \sf\longmapsto 6+2+2=10[/tex]

  • Divide all by 2

[tex]\\ \sf\longmapsto 4+1+1=5[/tex]

Now

  • R'=4
  • B'=1
  • G'=1

Two of same colour so we need P(R')

[tex]\\ \sf\longmapsto P(R')=\dfrac{|R|}{|S|}[/tex]

[tex]\\ \sf\longmapsto \dfrac{4}{10}[/tex]

[tex]\\ \sf\longmapsto 0.4[/tex]

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