Determine event independence using P(A and B)=P(A)P(B).
Decide whether a probability context suggests independent events and confirm with P(A and B)=P(A)P(B)
Problem
Before calculating, does this context suggest independence: rolling a die and flipping a coin?
Big Picture
What this problem is really about
Context can suggest independence when separate devices do not influence each other, but a numerical check confirms it. We’ll make the contextual prediction, use representative event probabilities, compute their product and joint probability, and require exact equality before final classification.
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