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Which outcome does not represent a favorable outcome? (Highlight or circle the correct answer). a. making at least two free throws (the one that does not have at least two heads) \( \begin{array}{llll}\text { A. TTTH } & \text { B. HTHT } & \text { C. TTHH } & \text { D. HHTH } \\ \begin{array}{lll}\text { b. making exactly two free throws (the one that does not have exactly two heads) } \\ \begin{array}{lll}\text { A. HHHT } & \text { B. THTH } & \text { C. THHT } \\ \begin{array}{ll}\text { C. making at least two free throws in a row (the one that does not have two heads in } \\ \text { a row) } & \text { B. HHHT }\end{array} \\ \begin{array}{ll}\text { A. HHTT } & \text { C. HTHT }\end{array}\end{array}\end{array} l^{\text {B. THH }}\end{array} \)

Ask by Frazier Nguyen. in the United States
Mar 14,2025

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**Part (a):** A. TTTH **Part (b):** A. HHHT **Part (c):** C. HTHT

Solución

**Part (a): Making at least two free throws (i.e. getting at least two heads)** Favorable outcomes must have at least two heads. We check each option: - Option A: \( \text{TTTH} \) has only one head. - Option B: \( \text{HTHT} \) has two heads. - Option C: \( \text{TTHH} \) has two heads. - Option D: \( \text{HHTH} \) has three heads. Thus, the outcome that does not meet the criterion is **A. TTTH** --- **Part (b): Making exactly two free throws (i.e. getting exactly two heads)** Favorable outcomes must have exactly two heads. We check each option: - Option A: \( \text{HHHT} \) has three heads. - Option B: \( \text{THTH} \) has two heads. - Option C: \( \text{THHT} \) has two heads. Thus, the outcome that does not meet the criterion is **A. HHHT** --- **Part (c): Making at least two free throws in a row (i.e. having at least two heads in a row)** Favorable outcomes must have at least one instance of two consecutive heads. We check each option: - Option A: \( \text{HHTT} \) has two heads consecutively at the beginning. - Option B: \( \text{HHHT} \) has three consecutive heads. - Option C: \( \text{HTHT} \) never has two heads in a row. Thus, the outcome that does not meet the criterion is **C. HTHT**

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If we're looking for the outcomes that do not represent a favorable scenario, let’s break it down to very simple terms! Starting with making at least two free throws (finding sequences without at least two heads), option A. TTTH is the odd one out since it only contains one head. Now, on to exactly two free throws (finding sequences without exactly two heads), option A. HHHT stands out, as it has three heads and is definitely not exactly two. This way, we get the not-so-favorable outcomes: A. TTTH and A. HHHT.

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