Combinations and Permutations

Sofie claims to be a tasting expert. To test her abilities, someone bakes Sofie a cake using 3 of the following ingredients:

Sofie's challenge is to identify which set of 3 ingredients was used in the cake. .

What is the probability that Sofie correctly identifies the set of 3 ingredients in the cake?

• 5%

• 6%

• 7%

• 4%

Tags

CCSS.HSS.CP.B.9

Adina sets up a taste test of 3 different waters: tap, bottled in glass, and bottled in plastic. She puts these waters in identical cups and has a friend taste them one by one. The friend then tries to identify which water was in each cup.

Assume that Adina's friend can't taste any difference and is randomly guessing.

What is the probability that Adina's friend correctly identifies each of the 3 cups of water?

• 20.3%

• 33.3%

• 1%

• 16.7%

Lin and Kai are friends that work together on a team of 12 total people. Their manager is going to randomly select 2 people from the team of 12 to attend a conference.

What is the probability that Lin and Kai are the 2 people chosen?

• 5.5%

• 1.5%

• 6.5%

• 2%

Tags

CCSS.HSS.CP.B.9

Rosa's friend Jake claims that he can read minds. To test Jake's abilities, Rosa chooses 3 different numbers from 1 to 10. Rosa then asks Jake to identify which 3 of the 10 numbers she chose in the correct order.

What is the probability that Jake correctly identifies all 3 numbers in the correct order?

• 0.14%

• 0.55%

• 0.25%

• 0.05%

Tags

CCSS.HSS.CP.B.9

Michael is taking a quiz in his music history class. The teacher writes the names of 6 songs on the board, and then plays 4 songs out of the 6, one after the other in a random sequence. Michael then needs to identify each of the songs in the sequence they were played.

What is the probability that Michael correctly identifies all 4 songs in the correct order?

• 0.28%

• 0.33%

• 0.52%

• 0.55%

Tags

CCSS.HSS.CP.B.9