Independence in rolling dice

Task number: 3541

Given an \(n\)-sided die with sides numbered \(1,…,n\), where rolling each number has the same probability \(\frac1n\), consider the events:
A – an even number is rolled
B – a number greater than \(\frac{n}2\) is rolled.

Determine whether these events are dependent or independent for:

  • Variant

    \(n=6\), i.e. for a classic 6-sided die.

  • Variant

    \(n=8\), i.e. an octahedron.

  • Variant

    The parameter \(n\) is not specified exactly.

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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