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10.03 Venn diagrams

Interactive practice questions

A jeweller has arranged his gems based on the cut and colour of the gem:

Cuts - triangular a triangular-cut gem, rectangular a rectangular-cut gem, and octagonal an octagonal-cut gem

Colours - amethysts an amethyst-shaded circle, emeralds an emerald-shaded circle, and rubies a ruby-shaded circle

A Venn diagram enclosed within a rectangle, with two overlapping circles labeled at the top. The left circle is labeled "Ruby", and the right circle is labeled "Triangular". The objects that are exclusive to left "Ruby" circle are four ruby gemstones: 2 ruby octagonal-cut gems and 2 ruby rectangular-cut gems. The objects that are exclusive to right "Triangular" circle are two triangular gemstones: 1 emerald triangular-cut gem and 1 amethyst triangular-cut gem. In the overlapping region, there is 1 ruby triangular-cut gem. Outside both circles, in the bottom-right corner of the rectangle, there is a, emerald rectangular-cut gem.

 

a

How many of the gems are not rubies?

b

How many of the gems are both ruby and triangular?

c

How many of the gems are rubies that aren't triangular?

Easy
< 1min

A jeweller has arranged his gems based on the cut and colour of the gem:

Cuts - triangular a triangular-cut gem, rectangular a rectagular-cut gem, and octagonal an octagonal-cut gem

Colours - amethysts an amethyst-coloured circle, emeralds an emerald-coloured circle, and rubies a ruby-coloured circle

Easy
< 1min

A group of students were asked about their siblings. The two categories show if they have at least one brother, and if they have at least one sister.

Easy
1min

A student creates the following diagram of their favourite animals.

Easy
< 1min
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Outcomes

MA4-21SP

represents probabilities of simple and compound events

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