Question

Olivia has five bracelets and three necklaces. She wants to choose one bracelet and one necklace randomly. How many possible outcomes are in this sample space?

Answer 1

15 possible outcomes

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 =
`\binom{5}{1}\binom{3}{1}`

Use
`\binom{n}{1}=n`

Therefore,

Number of possible outcomes in a sample space =
`\binom{5}{1}\binom{3}{1}` =
`5(3)=15`