Nneetquant

Maximum of three uniforms

EasyProbabilityRandom Variables~2m

X1,X2,X3X_1, X_2, X_3 are independent uniform on [0,1][0,1]. What is P(max⁡<12)P(\max < \tfrac12)?

Show hints (2)+
  1. max < t means every variable is below t.
  2. Multiply the independent probabilities.

Answer

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0.125

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