Questions: Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's entree (steak (S), chicken (C), pork (P)) and vegetable (corn (C), broccoli (B)) Identify the sample space. A. S C, S B, C C, C B, P C, P B B. S C, S B, S S, C C, C B, C S, P C, P B, P S C. S C, S B, S S, C C, C B, C S, P C, P B, P S, C C, C B, C S D. S C, S B, C C, C B, P C, P B, C C, C B, B C, B B There are outcomes in the sample space. Choose the correct tree diagram below. A. B.

Solution Steps

To identify the sample space of the probability experiment, we need to list all possible combinations of entrees and vegetables. Each entree can be paired with each vegetable, and we can count the total number of outcomes. We will then draw a tree diagram to visually represent these combinations.

To identify the sample space, we list all possible combinations of entrees and vegetables. Given the entrees \( \{S, C, P\} \) and vegetables \( \{C, B\} \), the sample space is: \[ \{(S, C), (S, B), (C, C), (C, B), (P, C), (P, B)\} \]

The number of outcomes in the sample space is the total number of combinations of entrees and vegetables. Since there are 3 entrees and 2 vegetables, the number of outcomes is: \[ 3 \times 2 = 6 \]

The tree diagram visually represents all possible combinations of entrees and vegetables. It is structured as follows:

S
  └── C
  └── B
C
  └── C
  └── B
P
  └── C
  └── B

Final Answer

S
  └── C
  └── B
C
  └── C
  └── B
P
  └── C
  └── B