The second draw is red

A box has 3 red and 2 green balls. Two are drawn without replacement. What is the probability the second ball drawn is red (regardless of the first)? Give a decimal to two places.

Show hints (2)+
  1. The first draw is unknown - split into first-red and first-green.
  2. Weight each branch: 3524+2534\tfrac35\cdot\tfrac24 + \tfrac25\cdot\tfrac34.

Answer

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0.6 (± 0.001)

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Asked at: Timed Mental-Math & Sequences, ETF Market-Making

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