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1972 AMC 12 Question 17

AMC12 · 1972 AMC 12

Question 17

A piece of string is cut in two at a point selected at random. The probability that the longer piece is at least $x$ times as large as the shorter piece is:
  1. $\dfrac12$
  2. $\dfrac2x$
  3. $\dfrac1{x+1}$
  4. $\dfrac1x$
  5. $\dfrac2{x+1}$