uppose 6 yellow and 7 red identical objects are in a jar. A lindfolded person randomly selects two of these objects from the jar one fter another, without replacing them back into the jar. The following tree iagram depicts all the possible random outcomes, but the branch robabilities are missing. C Yellow

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**Tree Diagram for Selecting Objects from a Jar**

Suppose there are 6 yellow and 7 red identical objects in a jar. A blindfolded person randomly selects two objects from the jar one after another, without replacing them. The following tree diagram depicts all possible random outcomes, but the branch probabilities are missing.

### Tree Diagram Explanation:

- **Initial Selection:**
  - From the initial state, there are two branches:
    - **Branch "a"**: Selecting a Yellow object.
    - **Branch "b"**: Selecting a Red object.
  
- **Second Selection is Conditional on First:**
  - If the first selection is Yellow ("a"):
    - **"c"**: Selecting another Yellow object.
    - **"d"**: Selecting a Red object.
  - If the first selection is Red ("b"):
    - **"e"**: Selecting a Yellow object.
    - **"f"**: Selecting another Red object.

### Note:

For the following questions, please enter your answers in fraction form.

a) What is the value of the branch probability \( c = ? \)

b) What is the value of the branch probability \( b = ? \)

c) What is the value of the branch probability \( f = ? \)
Transcribed Image Text:**Tree Diagram for Selecting Objects from a Jar** Suppose there are 6 yellow and 7 red identical objects in a jar. A blindfolded person randomly selects two objects from the jar one after another, without replacing them. The following tree diagram depicts all possible random outcomes, but the branch probabilities are missing. ### Tree Diagram Explanation: - **Initial Selection:** - From the initial state, there are two branches: - **Branch "a"**: Selecting a Yellow object. - **Branch "b"**: Selecting a Red object. - **Second Selection is Conditional on First:** - If the first selection is Yellow ("a"): - **"c"**: Selecting another Yellow object. - **"d"**: Selecting a Red object. - If the first selection is Red ("b"): - **"e"**: Selecting a Yellow object. - **"f"**: Selecting another Red object. ### Note: For the following questions, please enter your answers in fraction form. a) What is the value of the branch probability \( c = ? \) b) What is the value of the branch probability \( b = ? \) c) What is the value of the branch probability \( f = ? \)
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