Instructions This is an in-class activity for groups of two. You can work together with other students as well. This in-class activity can be subject to participation questions.

## Question 1

Suppose we draw three cards from a deck and roll two dice. Answer the following questions.

1. What is the experiment?
2. What is “getting two-sixes and three-kings or five-one (in any order) one queen one king one ace”? Pick one (Event / Outcome / Sample Space)
3. Give an example of two mutually exclusive events.
4. What is the probability of getting four-three (in any order) in dice roll and three queens in card draw?
5. How many different outcomes can there be? This time assume ordering is important (e.g. 6-1 and 1-6 are different outcomes).

## Question 2

In how many ways can you arrange the letters of “HOUSEPARTY”?

1. Any order.
2. Vowels together?
3. Vowels in alphabetical order?
4. There should be no consecutive vowels?

## Question 3

In how many ways can you arrange the letters of “CAMARADERIE”?

1. Any order.
2. Vowels together?
3. Vowels in alphabetical order?
4. There should be no consecutive vowels?

## Question 4

Suppose you are putting the top 12 basketball teams in 4 groups evenly (each group should consist of 3 teams). In how many different ways can you arrange the teams?

## Question 5

There are 18 people; 10 from Izmir, 8 from Mugla.

1. Suppose you want to form a group of 5 people with at least 1 person from Izmir and Mugla. In how many ways can you form such a group?
2. In how many ways can you form a group of 3 people from Izmir and 4 people from Mugla?