Flag Venn Diagrams

Flag Venn Diagrams
The twelve most well-known flags in the world are shown opposite.
1. Write the names of the countries in the appropriate place in the Venn diagram below.
Contains Red
Contains Blue
2. Use the information below and your Venn diagram to answer the questions.
𝑅𝑅 = Red 𝐡𝐡 = Blue 𝑅𝑅 β€² = Not 𝑅𝑅 𝐡𝐡′ = Not 𝐡𝐡
𝑅𝑅 ∩ 𝐡𝐡 means
𝑅𝑅 βˆͺ 𝐡𝐡 means
both 𝑅𝑅 and 𝐡𝐡
either 𝑅𝑅 or 𝐡𝐡
a) 𝑃𝑃(𝑅𝑅) =
(The probability of getting a red flag)
b) 𝑃𝑃(𝐡𝐡) =
(The probability of getting a blue flag)
c) 𝑃𝑃(𝑅𝑅 ∩ 𝐡𝐡) =
(The probability of getting a flag which is red and blue)
d) 𝑃𝑃(𝑅𝑅 βˆͺ 𝐡𝐡) =
(The probability of getting a flag which is red or blue)
e) 𝑃𝑃(𝑅𝑅 β€² ) =
(The probability of getting a flag which is not red)
f) 𝑃𝑃(𝑅𝑅 ∩ 𝐡𝐡′ ) =
(The probability of getting a flag which is red, but not blue)
g) 𝑃𝑃(𝑅𝑅 β€² ∩ 𝐡𝐡′ ) =
(The probability of getting a flag which is not red, but also not blue)
Flag Venn Diagrams SOLUTIONS
The twelve most well-known flags in the world are shown opposite.
1. Write the names of the countries in the appropriate place in the Venn diagram below.
2. Use the information below and your Venn diagram to answer the questions.
𝑅𝑅 = Red 𝐡𝐡 = Blue 𝑅𝑅 β€² = Not 𝑅𝑅 𝐡𝐡′ = Not 𝐡𝐡
𝑅𝑅 ∩ 𝐡𝐡 means
𝑅𝑅 βˆͺ 𝐡𝐡 means
both 𝑅𝑅 and 𝐡𝐡
either 𝑅𝑅 or 𝐡𝐡
10
πŸ“πŸ“
a) 𝑃𝑃(𝑅𝑅) = =
12
πŸ”πŸ”
(The probability of getting a red flag)
πŸ•πŸ•
b) 𝑃𝑃(𝐡𝐡) =
𝟏𝟏𝟏𝟏
(The probability of getting a blue flag)
πŸ“πŸ“
c) 𝑃𝑃(𝑅𝑅 ∩ 𝐡𝐡) =
𝟏𝟏𝟏𝟏
(The probability of getting a flag which is red and blue)
12
d) 𝑃𝑃(𝑅𝑅 βˆͺ 𝐡𝐡) = = 𝟏𝟏
12
(The probability of getting a flag which is red or blue)
2
𝟏𝟏
e) 𝑃𝑃(𝑅𝑅 β€² ) = =
12
πŸ”πŸ”
(The probability of getting a flag which is not red)
πŸ“πŸ“
f) 𝑃𝑃(𝑅𝑅 ∩ 𝐡𝐡′ ) =
𝟏𝟏𝟏𝟏
(The probability of getting a flag which is red, but not blue)
0
g) 𝑃𝑃(𝑅𝑅 β€² ∩ 𝐡𝐡′ ) = = 𝟎𝟎
12
(The probability of getting a flag which is not red, but also not blue)