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MMLU-Pro / 8871 / Suppose that A,B, and C are mutually independent events and that …

Problem

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

question

Suppose that A,BA, B, and CC are mutually independent events and that P(A)=0.5,P(B)=0.8P(A)=0.5, P(B)=0.8, and P(C)=P(C)= 0.9 . Find the probabilities that all three events occur?
Plain-text mathematical notation (without MathML)
Suppose that A,B, and C are mutually independent events and that P(A)=0.5,P(B)=0.8, and P(C)= 0.9 . Find the probabilities that all three events occur?
Original LaTeX notation
Suppose that $A, B$, and $C$ are mutually independent events and that $P(A)=0.5, P(B)=0.8$, and $P(C)=$ 0.9 . Find the probabilities that all three events occur?

category

math

options

  1. 0.58
  2. 0.72
  3. 0.3
  4. 0.24
  5. 0.1
  6. 0.4
  7. 0.45
  8. 0.9
  9. 0.36
  10. 0.5

src

scibench-stat

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Source and history

upstream_id / Original problem ID
8871
task_id
bc0cbc0c-f26c-51c2-8b1e-b7745185b442
task_key
default--test--8871
task_revision_id
1
config / split
default / test

Official source

initial import