Question

Ron can have beef (B) or chicken (C), and get one of 3 drinks; soda (S), juice (J), and water (W). Wrote the sample space and its events.

S=
A= with beef=
B= with soda =
C= not juice =

Answer 1

Sample Space (S): {(B, S), (B, J), (B, W), (C, S), (C, J), (C, W)}. Events: A (with beef), B (with soda), C (not juice: {(B, S), (B, W), (C, S), (C, W)}).

The sample space (S) for Ron's meal choices consists of all possible combinations of the main course (beef or chicken) and the drink (soda, juice, or water). Let's represent the events based on the given conditions:

Sample Space (S):

`\[ S = \{(B, S), (B, J), (B, W), (C, S), (C, J), (C, W)\} \]`

Events:

- A (with beef):

`\[ A = \{(B, S), (B, J), (B, W)\} \]`

- B (with soda):

`\[ B = \{(B, S), (C, S)\} \]`

- C (not juice):

`\[ C = \{(B, S), (B, W), (C, S), (C, W)\} \]`

So, to summarize:

- Event A represents the cases where Ron chooses beef.

- Event B represents the cases where Ron chooses soda.

- Event C represents the cases where Ron does not choose juice.