AnswersConcepts in Probability and Statistics - MA3120 A-ICCompound Events and the Fundamental Counting PrincipleQuestion 6
6
AssignmentMultiple Choice

Compound Events and the Fundamental Counting Principle

Question 6 • Concepts in Probability and Statistics - MA3120 A-IC

Tobias’s closet has 1 red hat and 1 black hat; 1 white shirt, 1 black shirt, and 1 black-and-white-striped shirt; and 1 pair of black pants and 1 pair of blue pants. He is picking an outfit by reaching into his closet and randomly choosing a hat, a shirt, and a pair of pants. How many possible outfit combinations are there?

Answer
A
3
B
7
C
12
D
16

Explanation

There are 2 choices of hat, 3 choices of shirt, and 2 choices of pants. For each hat, Tobias can pair it with any shirt and any pants, so multiply the choices: 2 × 3 × 2 = 12. The correct choice is 12 possible outfit combinations.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Assignment
2 verified answers

Instruction

Quiz
12 verified answers

Compound Events and the Fundamental Counting Principle