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MMLU / In the casino game of roulette, there are 38 slots for a ball to drop into when…

Problem

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question

In the casino game of roulette, there are 38 slots for a ball to drop into when it is rolled around the rim of a revolving wheel: 18 red, 18 black, and 2 green. What is the probability that the first time a ball drops into the red slot is on the 8th trial (in other words, suppose you are betting on red every time-what is the probability of losing 7 straight times before you win the first time)?

choices

  1. 0.0278
  2. 0.0112
  3. 0.0053
  4. 0.0101

subject

high_school_statistics

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