3. Represent A penny, a nickel, and a dime are flipped once. Make a tree diagram to find the possible outcomes. Then write the sample space for the experiment, recording each outcome in penny, nickel, dime orcler. (For example, one outcome is HTH meaning heads for the penny, tails

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1. **Determine the individual outcomes:**  
   Each coin (penny, nickel, dime) can result in either heads (H) or tails (T).

2. **Construct the tree diagram:**  
   Begin with the penny, then extend branches for the nickel, and finally for the dime.

- **Penny flip:**  
     - Branch 1: H  
     - Branch 2: T

- **Nickel flip (for each branch from the penny):**  
     - From H:  
       - H (H, H)  
       - T (H, T)  
     - From T:  
       - H (T, H)  
       - T (T, T)

- **Dime flip (for each branch from the nickel):**

- For branch **H, H**:  
       - H: $$HHH$$  
       - T: $$HHT$$
       
     - For branch **H, T**:  
       - H: $$HTH$$  
       - T: $$HTT$$
       
     - For branch **T, H**:  
       - H: $$THH$$  
       - T: $$THT$$
       
     - For branch **T, T**:  
       - H: $$TTH$$  
       - T: $$TTT$$

3. **Write the sample space:**  
   The sample space consists of all the outcomes in the order (penny, nickel, dime):

$$
   S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}
   $$
The possible outcomes are: - HHH - HHT - HTH - HTT - THH - THT - TTH - TTT

3. Represent A penny, a nickel, and a dime are flipped once. Make a tree diagram to find the possible outcomes. Then write the sample space for the experiment, recording each outcome in penny, nickel, dime orcler. (For example, one outcome is HTH meaning heads for the penny, tails

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