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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: monkeywantsabanana on April 18, 2011, 01:52:04 pm

Title: A Probability Question
Post by: monkeywantsabanana on April 18, 2011, 01:52:04 pm
Hey guys... Can you guys help with this question - I don't know why I got it wrong.

A square has side length of 4 metres. Inside the square is a circle of radius 1.5 metres. If a dart thrown at the square is equally likely to land at any point inside the square, then the probability that it will land outside the circle is closest to :

A 0.442
B 0.295   
C 0.558
D 0.250
E 0.375

This is what i did:

Area of circle =
                   =

Area of the square = x

Pr(hitting the circle) =   x
                            =

Pr(land outside circle) =
                              =
which is C

The textbook reckon it's 0.442 which is A

What have I done wrong? :O
Title: Re: A Probability Question
Post by: brightsky on April 18, 2011, 01:59:42 pm
Textbook's wrong.
Title: Re: A Probability Question
Post by: jane1234 on April 18, 2011, 02:01:29 pm
Agreed. I got 0.558 also.
Title: Re: A Probability Question
Post by: monkeywantsabanana on April 18, 2011, 02:06:31 pm
haha YAY!

thanks guys  !