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Math Help - [solved] 45 45 90

  1. #1
    dire
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    [solved] 45 45 90

    Hello!
    A balloonist lands on a square region 12 m on a side. What's the probability of landing on the X?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by dire View Post
    Hello!
    A balloonist lands on a square region 12 m on a side. What's the probability of landing on the X?
    The probability (making a number of assumptions) is the ratio of the area of
    the cross to that of the square.

    The area of the cross is the area of the square minus 4 times the area of one
    of the triangles.

    hence the required prob is:

    (144-4*8)/144=7/9

    opps.. area of one triangle is 16 not 8 so prob is:

    (144-4*16)/144=5/9

    RonL
    Last edited by CaptainBlack; August 1st 2007 at 01:10 PM.
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  3. #3
    Senior Member tukeywilliams's Avatar
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    Total area is  12 \times 12 = 144 .

    Area of 4 right triangles =  16 \times 4 .

    Then the probability is:  \frac{144- 64}{144} = \frac{5}{9}
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