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 𝑆, for events 𝐴 and 𝐵, what is the set of outcomes for the event 𝐴?

  • 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 𝑆, for events 𝐴 and 𝐵, what is the set of outcomes for the event 𝐵?

  • 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{3,6,9,12,15,18,21,24,27,30,33,36,39,42}
  • B{4,8,12,16,20,24,28,32,36,40}
  • C{10,20,30,40}
  • D{12,24,36}
  • E{15,30}

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{1,2,3,4,5,6}
  • B{1,2,3,4,5}
  • C{1,2,3,4,6}
  • D{0,1,2,3,4,5}
  • E{1,3,5}

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