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MMLU / Suppose you toss a fair die three times and it comes up an even number each…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Suppose you toss a fair die three times and it comes up an even number each time. Which of the following is a true statement?

choices

  1. By the law of large numbers, the next toss is more likely to be an odd number than another even number.
  2. Based on the properties of conditional probability the next toss is more likely to be an even number given that three in a row have been even.
  3. Dice actually do have memories, and thus the number that comes up on the next toss will be influenced by the previous tosses.
  4. The probability that the next toss will again be even is 0.5.

subject

high_school_statistics

Discussion

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Source and history

task_id
2d719b9d-62bf-5e7e-b046-88e1e3fdd417
task_key
all--test--2d719b9d-62bf-5e7e-b046-88e1e3fdd417
task_revision_id
1
config / split
all / test

Official source

initial import