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MMLU-Pro / 11420 / A coin is tossed 3 times. Find the probability that all 3 are heads, (a) if it…

Problem

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

question

A coin is tossed 3 times. Find the probability that all 3 are heads, (a) if it is known that the first is heads, (b) if it is known that the first 2 are heads, (c) if it is known that 2 of them are heads.

category

engineering

options

  1. (a) 1/8, (b) 1, (c) 1/4
  2. (a) 1/8, (b) 1/2, (c) 3/8
  3. (a) 1/6, (b) 1/3, (c) 1/6
  4. (a) 1/4, (b) 1/2, (c) 1/4
  5. (a) 1/2, (b) 1, (c) 1/3
  6. (a) 1/2, (b) 1/4, (c) 1/8
  7. (a) 1/4, (b) 1, (c) 0
  8. (a) 1/2, (b) 1/2, (c) 1/2
  9. (a) 1/8, (b) 1/4, (c) 1/2
  10. (a) 1/3, (b) 1/6, (c) 1/3

src

stemez-ElectronicCommunications

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Source and history

upstream_id / Original problem ID
11420
task_id
803e31f6-f860-5cac-a6a8-08c5c06a0df2
task_key
default--test--11420
task_revision_id
1
config / split
default / test

Official source

initial import