means everything not in $A$.","back":"The complement of set $A$ is written as $A'$ and means everything not in $A$.","points":null},{"id":"08046393-1e53-4524-b1da-bcb9566772ce","cardType":"basic","front":"How do you calculate $P(A')$ if $P(A) = 0.64$?","back":"$$$1 - 0.64 = 0.36$$","points":1},{"id":"d285c92e-5d0d-497f-82e8-ba23ab033a45","cardType":"basic","front":"Describe the difference between the symbols $\\cap$ and $\\cup$.","back":"

$\\cap$ is the intersection (\"and\" / overlap).
$\\cup$ is the union (\"or\" / everything inside the circles).

","points":2},{"id":"1caafa4f-d5b8-4eb7-b08f-ab0afb4193f5","cardType":"basic","front":"Which regions of a two-set Venn diagram are included in $A \\cup B$?","back":"

$A$ only
$B$ only
The overlap ($A \\cap B$)

","points":2},{"id":"7837aaf9-dc16-470b-83d3-b12a91a732e6","cardType":"basic","front":"In set notation, what does $n(A)$ represent?","back":"The number of members (elements) in set $A$.","points":1},{"id":"e6ff3e52-928c-4553-83bc-a6c936b8c80d","cardType":"cloze","front":"The formula for the number of elements in the union of two sets is $$\\text{[...]}$$.","back":"The formula for the number of elements in the union of two sets is $$\\boxed{n(A \\cup B) = n(A) + n(B) - n(A \\cap B)}$$.","points":null},{"id":"966c3860-6fcb-478c-8c58-db200dac23be","cardType":"basic","front":"Why is $n(A \\cap B)$ subtracted in the formula for $n(A \\cup B)$?","back":"Because the overlap is counted twice when adding $n(A)$ and $n(B)$.","points":2},{"id":"b579d1d3-55bb-426b-810f-f0f12e752102","cardType":"basic","front":"When completing a Venn diagram from scratch, which region should you fill in first?","back":"The overlap (intersection).","points":1},{"id":"e5fb7278-7ead-43c0-b48d-19ddc9c9a22b","cardType":"basic","front":"If 21 people visit Italy and 7 visit both Italy and Germany, how many visited Italy only?","back":"$$$21 - 7 = 14$$","points":1},{"id":"1260471a-68e3-476f-a725-755288dba667","cardType":"basic","front":"Which region is represented by $A \\cap B'$?","back":"$A$ only (inside $A$ but outside $B$).","points":1},{"id":"31c16436-8b3e-4cbb-896f-26cd9d3c254f","cardType":"basic","front":"Which region is represented by $A' \\cap B'$?","back":"Neither $A$ nor $B$ (the area outside both circles).","points":1},{"id":"051ca8cd-b2b7-4489-9cc9-792f5812d35d","cardType":"cloze","front":"The notation for the region where members are in all three sets $A$, $B$, and $C$ is $\\text{[...]}$.","back":"The notation for the region where members are in all three sets $A$, $B$, and $C$ is $\\boxed{A \\cap B \\cap C}$.","points":null},{"id":"0de329a4-d1bd-45da-836f-4cf9bfaa7a99","cardType":"basic","front":"What is the general strategy for filling in a three-set Venn diagram?","back":"Work from the centre outwards (triple overlap $\\rightarrow$ pair-only overlaps $\\rightarrow$ single-only regions).","points":2},{"id":"21a8d5c3-71df-47d5-8ccc-d4706883e4b4","cardType":"basic","front":"If 15 students like Art and Basketball, and 4 like all three subjects (including Choir), how many like Art and Basketball only?","back":"$$$15 - 4 = 11$$","points":2},{"id":"942f0cd0-1524-4d5b-bf33-d279d9e46899","cardType":"basic","front":"When calculating probability from a Venn diagram, what is typically used as the denominator?","back":"The total number of outcomes in the universal set ($\\mathcal{E}$).","points":1},{"id":"08439e92-68b3-4fe7-a5f8-b242a46e471d","cardType":"basic","front":"Describe the shading for the region $A' \\cup B$.","back":"Everything outside circle $A$ plus everything inside circle $B$ (only the \"A only\" section remains unshaded).","points":2},{"id":"31fcab9d-68e5-437c-8855-8f06526e3300","cardType":"cloze","front":"If probabilities are given

Venn Diagrams Flashcards

Venn Diagrams Flashcards

Venn Diagrams Flashcards

Venn Diagrams Flashcards