How to Solve Probability Foundations — General probability — interpret independence and mutual exclusivity Questions on Exam P

Exam P Topic: Probability Foundations — General probability — interpret independence and mutual exclusivity Verified Procedural Question
Sample Practice Problem ID: #10IUV
Four independent draws are made uniformly from 3 symbols. Calculate the probability of counts (2,1,1) for three specified symbols.
(A)0.0987
(B)0.1111
(C)0.0370
(D)0.0494
(E)0.1481
📖 Worked Solution & Strategy
For a designated \((2,1,1)\) pattern there are \(4!/2!=12\) orders, each probability \(1/3^4\). After simplifying the displayed expression, the resulting value is \(0.1481\). This is the numerical value of the probability of counts (2,1,1) for three specified symbols.
Therefore, the result is \(\frac{4}{27}\approx 0.1481\), so the correct answer is option (E).

Final Answer: Option (E)

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