Respuesta :

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]