# 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