To determine the sample space of the friends' fruit drinks, we need to consider all possible combinations of drink choices each friend can make. Each friend can choose from 3 flavors: strawberry (S), mango (M), or kiwi (K). Therefore, we can create pairs to represent the selections.
The possible combinations (where the order matters, meaning (Friend 1, Friend 2) is different from (Friend 2, Friend 1)) are:
- (S, S)
- (S, M)
- (S, K)
- (M, S)
- (M, M)
- (M, K)
- (K, S)
- (K, M)
- (K, K)
Now, looking at the options given in the choices, we want to find the one that matches this list:
Choice C is:
- (S, S)
- (S, M)
- (S, K)
- (M, S)
- (M, M)
- (M, K)
- (K, S)
- (K, M)
- (K, K)
This aligns perfectly with our derived sample space.
Therefore, the correct answer is: Choice C.