SOLUTION: ABCD is square .M is at BC ,one third the distance from C and N is at CD , one third the distance from C . A point is selected at random in the square. What is the probability that

Algebra ->  Probability-and-statistics -> SOLUTION: ABCD is square .M is at BC ,one third the distance from C and N is at CD , one third the distance from C . A point is selected at random in the square. What is the probability that      Log On


   

Question 1147605: ABCD is square .M is at BC ,one third the distance from C and N is at CD , one third the distance from C . A point is selected at random in the square. What is the probability that it lies in the triangle MCN?
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
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The probability under the question is equal to the ratio of the area of the triangle MCN to the area of the square. 

After this notice, the solution is a simple arithmetic, and the ANSWER is


    P = %281%2F2%29%2A%281%2F3%29%2A%281%2F3%29 = 1%2F18.