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Balls matching boxes question

Usagi

Member
Jun 26, 2012
46
Hi guys, really simple question but...



I'm not quite sure on how they ended up with the expression for P(exactly one match). I would have done it in a more straight forward way, simply define A: matching the colour red in the red box only. B: matching the colour blue in the blue box only and C: matching the colour white in the white box only.

So P(exactly one match) = P(A)+P(B)+P(C) = [tex]\frac{3}{6} = \frac{1}{2}[/tex]

How exactly did they get their expression?

Thanks
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,504