# Worksheet: Sample Space and Outcomes

In this worksheet, we will practice finding the sample space of an event and describing and counting the possible outcomes.

**Q1: **

In sample space , for events and , what is the set of outcomes for the event ?

- A{3, 6, 9, 12, 15}
- B{1, 2, 4, 5, 7, 8, 10, 11, 13, 14}
- C{3, 6, 9, 15}
- D{3, 4, 6, 8, 9, 12, 15}
- E{4, 8, 12}

**Q2: **

In sample space , for events and , what is the set of outcomes for the event ?

- A{3, 6, 9, 15}
- B{1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15}
- C{1, 2, 4, 5, 7, 8, 10, 11, 13, 14}
- D{4, 8}
- E{4, 8, 12}

**Q3: **

A card is drawn at random from a deck of cards numbered from 1 to 42. What is the event that the card drawn has a number which is a multiple of both 3 and 4?

- A
- B
- C
- D
- E

**Q4: **

In probability, what is a sample space defined as?

- Athe set of all possible outcomes of an activity or experiment
- Ba repeatable process, or activity, with a number of possible outcomes
- Ca collection of one or more possible outcomes from an activity, which can be described as having certain characteristics

**Q5: **

A standard die is made in the shape of a cube. What is the number of possible outcomes of rolling this die once?

List the sample space of this experiment.

- A
- B
- C
- D
- E