Question

two jars each have one red marble and one blue marble in them. you choose one marble randomly from each jar.
which model does not represent the sample space for this experiment?

Explanation:

Step1: Analyze the sample space

The sample space for choosing one marble from each of two jars (each with \(R\) and \(B\)) should have 4 possible outcomes: \(RR\), \(RB\), \(BR\), \(BB\).

Step2: Check each model

• The first model (left - most vertical) lists \(BB\), \(BR\), \(RB\), \(RR\) which is correct.
• The second model (tree - like) has branches for first - pick \(RR\), \(RB\), \(BR\), \(BB\) and then second - pick \(R\) or \(B\) in a wrong structure. It should have two levels (one for each jar's pick), but the way it's structured doesn't correctly represent two independent picks.
• The third model (table - like) has rows and columns for \(B\) and \(R\) and the intersections \(BB\), \(BR\), \(RB\), \(RR\) which is correct.
• The fourth model (another tree - like) has two levels (first pick \(B\) or \(R\) from first jar, then \(B\) or \(R\) from second jar) and correctly forms \(BB\), \(BR\), \(RB\), \(RR\)

Answer:

The second model (the tree - like one with \(RR\), \(RB\), \(BR\), \(BB\) as first - level branches) does not represent the sample space correctly.