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Expert: Jack Cheng - 11/19/2006


Question
(A square dart board) The side of the dartboard measures 30 inches. The square shaded region at the center has a side that measures 10 inches. If darts thrown at the board are equally likely to land anywhere on the board, what is the theoretical probability that a dart dose not land in the shaded region?

Answer
Hi Yolanda,

Probability is expected/possible. You can just use area as the unit of measurment. So the expected (area of the not shaded region) is (30*30)-(10*10), and the possible (area of the entire board) is 30*30. The probability then is 800/900 or 8/9. (A pretty high probability.)

I hope this helped.

~ Jack

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Jack Cheng

Expertise

I can answer most questions in Math up to single-variable Calculus, including infinite series. I like to think very much, so questions with a lot of twists and turns are highly welcomed! Mathematical questions related to computer science are also highly welcomed! I can also answer some basic questions in discrete mathematics (logics, sets, some algorithms, basic number theory). I am also studying physics (mechanics in particluar), so I am willing to answer some questions relating to it.

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Majoring in Mathematics.

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I am sophomore/junior status in college working towards bachelor's degrees in Computer Science and Mathematics.

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