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Probability of Drawing a Rose

Probability of Drawing a Rose
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2015-11-11 04:51
Probability & StatisticsSlider AnimationGraphing
In collections CCSS Support Math II Unit 4
This example demonstrates the probability of drawing a rose from a vase. The core mathematical concept involved is probability and statistics. The commands used include Border, Gear, Book, etc., which are used to construct the example. Suitable for middle or high school students learning probability and statistics.

GeoGebra Commands & Parameters

  1. LaTeX("\text{What is the probability the rose is yellow?}") → Question2
  2. LaTeX("\text{Describe the sample space and identify the number of outcomes in it.}") → Pg1A
  3. LaTeX((("\text{\left\{\textcolor{#000099}{ " * Total) * "}\right\}}")) → Pg1D
  4. LaTeX("\text{Define the event and identify the number of outcomes in it.}") → Pg2A
  5. LaTeX((((((((("\text{There are \textcolor{#000099}{" * Red) * "+") * Pink) * "+") * Yellow) * "=") * RPY) * "} possible outcomes when selecting a rose from the vase.}")) → Pg1E
  6. LaTeX("\text{The sample space is the set of all possible outcomes.If \textcolor{#000099}{R} represents a red rose,\textcolor{#000099}{P} represents a pink rose,and }") → Pg1B
  7. LaTeX("\text{\textcolor{#000099}{Y} represents a yellow rose,the sample space is:}") → Pg1C
  8. LaTeX("\text{The event is “selecting a yellow rose”.}") → Pg2B
  9. LaTeX((((("\text{There are \textcolor{#000099}{ " * Yellow) * "} yellow roses in the vase,so there are \textcolor{#000099}{ ") * Yellow) * "} outcomes in this event.}")) → Pg2C
  10. LaTeX("\text{Determine the probability of the event.}") → Pg3A
  11. LaTeX("\text{Use the formula for the probability of an event:}") → Pg3B
  12. LaTeX("\text{Probability formula}") → Pg3G
  13. FractionText(Yellow / RPY) → Pg3IB
  14. LaTeX("\text{Substitute “selecting a yellow rose” for \textcolor{#000099}{E},\textcolor{#000099}{6} for the number of outcomes}") → Pg3HB
  15. LaTeX("\text{in \textcolor{#000099}{E},and \textcolor{#000099}{18} for the number of outcomes in the sample space.}") → Pg3HC
  16. LaTeX("\text{The probability of selecting a yellow rose is}") → Pg3JA
  17. FractionText(Yellow / RPY) → Pg3JB
  18. LaTeX("\text{.}") → Pg3JC
  19. LaTeX((((("\text{\textcolor{#000099}{P}(selecting a yellow rose)=\textcolor{#000099}{\frac{(" * Yellow) * ")}{(") * RPY) * ")}}}")) → Pg3H
  20. LaTeX("\text{\textcolor{#000099}{P}(selecting a yellow rose)=}") → Pg3I
  21. LaTeX("\text{Simplify.}") → Pg3IC
  22. LaTeX((((((("\text{A vase contains \textcolor{#000099}{ " * Red) * "} red roses,\textcolor{#000099}{ ") * Pink) * "} pink roses,and \textcolor{#000099}{ ") * Yellow) * "} yellow roses.A rose is selected at random.}")) → Question
  23. LaTeX("\text{\textcolor{#000099}{P(E)}=\frac{number \;of \;outcomes\; in\textcolor{#000099}{\;E}}{number\; of\; outcomes \;in \;the \;sample \;space}}") → Pg3C
  24. LaTeX("\text{\textcolor{#000099}{P(E)}=\frac{number \;of \;outcomes\; in\textcolor{#000099}{\;E}}{number\; of\; outcomes \;in \;the \;sample \;space}}") → Pg3F
  25. LaTeX("\text{In this formula,the event (\textcolor{#000099}{E}) is “selecting a yellow rose”,the number of outcomes in the event is \textcolor{#000099}{6},and the number}") → Pg3D
  26. LaTeX((("\text{of outcomes in the sample space is \textcolor{#000099}{" * RPY) * "}.Substitute these values into the formula.}")) → Pg3E
  27. LaTeX("\text{\textcolor{#000099}{P(E)}=\frac{number \;of \;outcomes\; in\textcolor{#000099}{\;E}}{number\; of\; outcomes \;in \;the \;sample \;space} in a uniform probability model.}") → WTK2
  28. LaTeX("\text{\mathbf{Probability\; of \;an \;event\; \textcolor{#000099}{E}} denoted \textcolor{#000099}{ P(E)},and is given by}") → WTK1
  29. LaTeX((("\text{Red rose=" * Red) * "}")) → DKTR
  30. LaTeX((("\text{Pink rose=" * Pink) * "}")) → DKTP
  31. LaTeX((("\text{Yellow rose=" * Yellow) * "}")) → DKTY