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12.01 Subsets and sample spaces

Adaptive
Worksheet

Interactive practice questions

A community center recorded class sign ups, but only kept track of the following information:

  • $14$14 adults signed up for pottery
  • $29$29 teenagers signed up for classes
  • $20$20 people signed up for salsa classes
  • $30%$30% of salsa sign-ups were adults

Fill in the table based on the given information about class sign-ups.

  Pottery Class Salsa Dance Class Total
Teenagers $\editable{}$ $\editable{}$ $\editable{}$
Adults $\editable{}$ $\editable{}$ $\editable{}$
Total $\editable{}$ $\editable{}$ $\editable{}$
Medium
< 1min

A poll was given where people were asked: "Do you like pineapple on your pizza?" The following information was recorded:

Medium
< 1min

The tree diagram below gives information on a survey of a group of students.

The students were asked if they prefer chocolate ($C$C) or vanilla ($V$V) ice cream. Each of the students was also asked if they prefer sprinkles ($S$S) or hot fudge ($F$F) as an ice cream topping.

Medium
< 1min

The following table gives information on the treatment plans prescribed to cats with feline diabetes. Depending on the severity of the case, cats are either prescribed a special diet or insulin injections.

Medium
< 1min
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Outcomes

S.CP.A.1

Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events ("or," "and," "not").

S.CP.A.4

Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

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