In the Venn diagram below, shade in the area that represents
`C \cup (B \cap A^{′})` (2 marks)
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Probability, SMB-017
Probability, SMB-016
In the Venn diagram below, shade in the area that represents
`(A \cap B) \cup (B \cap C) \cup (A \cap C)` (2 marks)
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Probability, SMB-015
In the Venn diagram below, shade in the area that represents
`(A \cap B \cap C) \cup (A \cap C^{′})` (2 marks)
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Probability, SMB-013
A group of coalminers were surveyed about what registered vehicles they own.
They were surveyed on whether they own a car, a motorbike, both or neither and the results were recorded in the Venn diagram below.
Record this information in the partially completed 2-way table below. (2 marks)
\begin{array} {|l|c|c|}
\hline
\rule{0pt}{2.5ex} &\ \ \ \text{Car}\ \ \ \rule[-1ex]{0pt}{0pt} & \text{No Car}\\
\hline
\rule{0pt}{2.5ex}\text{Motorbike}\rule[-1ex]{0pt}{0pt} & & 8 \\
\hline
\rule{0pt}{2.5ex}\text{No Motorbike}\rule[-1ex]{0pt}{0pt} & & \\
\hline
\end{array}
\hline
\rule{0pt}{2.5ex} &\ \ \ \text{Car}\ \ \ \rule[-1ex]{0pt}{0pt} & \text{No Car}\\
\hline
\rule{0pt}{2.5ex}\text{Motorbike}\rule[-1ex]{0pt}{0pt} & & 8 \\
\hline
\rule{0pt}{2.5ex}\text{No Motorbike}\rule[-1ex]{0pt}{0pt} & & \\
\hline
\end{array}
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Probability, SMB-012
A group of 20 museum visitors were surveyed about what languages they could speak fluently.
They were surveyed on whether they could speak English or French and the results were recorded in the Venn diagram below.
Record this information in the partially completed 2-way table below. (2 marks)
\begin{array} {|l|c|c|}
\hline
\rule{0pt}{2.5ex} & \text{English}\rule[-1ex]{0pt}{0pt} & \text{No English}\\
\hline
\rule{0pt}{2.5ex}\text{French}\rule[-1ex]{0pt}{0pt} & & \\
\hline
\rule{0pt}{2.5ex}\text{No French}\rule[-1ex]{0pt}{0pt} & 8 & \\
\hline
\end{array}
\hline
\rule{0pt}{2.5ex} & \text{English}\rule[-1ex]{0pt}{0pt} & \text{No English}\\
\hline
\rule{0pt}{2.5ex}\text{French}\rule[-1ex]{0pt}{0pt} & & \\
\hline
\rule{0pt}{2.5ex}\text{No French}\rule[-1ex]{0pt}{0pt} & 8 & \\
\hline
\end{array}
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Probability, SMB-011
A class of 30 students were surveyed about their pets. They were asked whether they owned a dog, cat, both or neither and the results were recorded in the Venn diagram below.
Record this information in the partially completed 2-way table below. (2 marks)
\begin{array} {|l|c|c|}
\hline
\rule{0pt}{2.5ex} &\ \ \ \text{Dog}\ \ \ \rule[-1ex]{0pt}{0pt} & \text{No Dog}\\
\hline
\rule{0pt}{2.5ex}\text{Cat}\rule[-1ex]{0pt}{0pt} & & \\
\hline
\rule{0pt}{2.5ex}\text{No Cat}\rule[-1ex]{0pt}{0pt} & & 8\\
\hline
\end{array}
\hline
\rule{0pt}{2.5ex} &\ \ \ \text{Dog}\ \ \ \rule[-1ex]{0pt}{0pt} & \text{No Dog}\\
\hline
\rule{0pt}{2.5ex}\text{Cat}\rule[-1ex]{0pt}{0pt} & & \\
\hline
\rule{0pt}{2.5ex}\text{No Cat}\rule[-1ex]{0pt}{0pt} & & 8\\
\hline
\end{array}
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Probability, SMB-010
In the Venn diagram below, shade in the area that represents
`A \cap B \cap C` (2 marks)
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Probability, SMB-009
In the Venn diagram below, shade in the area that represents
`B^c \cap C^c` (2 marks)
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Probability, SMB-008
In the Venn diagram below, shade in the area that represents
`(A \cap B) \cup C` (2 marks)
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Probability, SMB-006
The subject choices in science at a high school are physics, chemistry and biology.
This Venn diagram shows the number of students who are studying each of the subjects.
A student studying Biology is chosen a random.
What is the probability that the student also studies Chemistry? (2 marks)
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Probability, SMB-005 MC
The subject choices in science at a high school are physics, chemistry and biology.
This Venn diagram shows the number of students who are studying each of the subjects.
How many of these students are studying at least two of these science subjects?
- `2`
- `24`
- `26`
- `54`
Probability, SMB-004
Zilda took a survey of eighteen year olds, asking if they work, go to school, do both or do neither.
The Venn diagram shows the results.
What is the probability that a person randomly selected from the group goes to school and works, rounded to three decimal places? (2 marks)
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Probability, SMB-003 MC
A country school surveyed 120 of its students about the type of animals they have at home.
The results are recorded in the Venn diagram below, although the number of students who only own horses is missing.
If one of the students is selected at random, what is the probability that the student does not own a goat?
- `40/120`
- `60/120`
- `80/120`
- `100/120`