Subjects probability

Probability Dark Chocolates 783Cc6

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1. **Problem Statement:** Find the probability of selecting exactly 2 dark chocolates. 2. **Formula:** The probability of exactly $k$ successes in $n$ trials in a binomial distribution is given by: $$P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}$$ where $p$ is the probability of success on a single trial. 3. **Explanation:** Here, "success" means selecting a dark chocolate. We need to know the total number of chocolates selected ($n$), the number of dark chocolates desired ($k=2$), and the probability of selecting a dark chocolate ($p$). 4. **Intermediate Work:** Since the problem does not provide $n$ or $p$, we cannot compute a numeric answer. If you provide these values, we can calculate the probability. 5. **Summary:** To find the probability of exactly 2 dark chocolates selected, use the binomial formula with $k=2$, given $n$ and $p$.