Answer:
15 possible outcomes
Step-by-step explanation:
Given: Olivia has five bracelets and three necklaces.
She chooses one bracelet and one necklace randomly.
To find: Number of possible outcomes in a sample space
Solution:
Sample space denotes a set of all possible outcomes.
Number of possible outcomes in a sample space = [tex]\binom{5}{1}\binom{3}{1}[/tex]
Use [tex]\binom{n}{1}=n[/tex]
Therefore,
Number of possible outcomes in a sample space = [tex]\binom{5}{1}\binom{3}{1}[/tex] = [tex]5(3)=15[/tex]