标准扑克牌抽卡概率计算

GeoGebra 命令及参数

1. LaTeX((("\text{Suit=" * suVal) * "}")) → DKT1
2. LaTeX((("\text{Card=" * prVal) * "}")) → DKT2
3. LaTeX("\text{Cassidy is playing a game that involves drawing a card from a standard deck of \textcolor{#000099}{52} cards.What is the probability of }") → Question1
4. LaTeX("\text{Identify the number of outcomes in the sample space.}") → Pg1A
5. LaTeX("\text{There are \textcolor{#000099}{ 52} outcomes in the sample space.}") → Pg1D
6. LaTeX("\text{Identify the number of outcomes in the event.}") → Pg1E
7. LaTeX((((("\text{Therefore,there are \textcolor{#000099}{4 + 13\; – \;1 = 16} outcomes in the event “drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "}”.}")) → Pg1L
8. LaTeX("\text{Determine the probability of the event.}") → Pg2A
9. LaTeX("\text{Use the formula for the probability of an event:}") → Pg2B
10. LaTeX("\text{\textcolor{#000099}{P(E)}=\frac{number \;of \;outcomes\; in\textcolor{#000099}{\;E}}{number\; of\; outcomes \;in \;the \;sample \;space}}") → Pg2C
11. LaTeX("\text{outcomes in the sample space is \textcolor{#000099}{52}.Substitute these values into the formula.}") → Pg2E
12. LaTeX("\text{\textcolor{#000099}{P(E)}=\frac{number \;of \;outcomes\; in\textcolor{#000099}{\;E}}{number\; of\; outcomes \;in \;the \;sample \;space}}") → Pg2F
13. LaTeX("\text{Probability formula}") → Pg2G
14. LaTeX((((("\text{\textcolor{#000099}{P}(drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "})=\textcolor{#000099}{\frac{(16)}{(52)}}}")) → Pg2H
15. LaTeX((((("\text{In this formula,the event (\textcolor{#000099}{E}) is “drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "}”,the number of outcomes in the event is \textcolor{#000099}{16},and the number of}")) → Pg2D
16. LaTeX((((("\text{\textcolor{#000099}{P}(drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "})=\textcolor{#000099}{\frac{4}{13}}}")) → Pg2K
17. LaTeX("\text{Simplify.}") → Pg2L
18. LaTeX((((("\text{The probability of drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "} is \textcolor{#000099}{\frac{4}{13}}.}")) → Pg2M
19. LaTeX("\text{Express the probability as a decimal and a percent.}") → Pg3A
20. LaTeX("\text{The probability as a fraction is \textcolor{#000099}{\frac{4}{13}}.}") → Pg3B
21. LaTeX("\text{To express the probability as a decimal,divide \textcolor{#000099}{4} by \textcolor{#000099}{13}.}") → Pg3C
22. LaTeX("\text{\textcolor{#000099}{4 ÷ 13 ≈ 0.31}}") → Pg3D
23. LaTeX("\text{To express the probability as a percent,move the decimal point two places to the right.This is equivalent to multiplying}") → Pg3E
24. LaTeX("\text{the decimal by \textcolor{#000099}{100}.}") → Pg3F
25. LaTeX("\text{\textcolor{#000099}{0.31\; • \;100 = 31%}}") → Pg3G
26. LaTeX("\text{already noted.Eliminate the duplicate.}") → Pg1K
27. LaTeX((((((((((("\text{There are \textcolor{#000099}{four\; " * prVal) * "}:the \textcolor{#000099}{") * prVal) * "} of \textcolor{#000099}{spades},the \textcolor{#000099}{") * prVal) * "} of \textcolor{#000099}{ clubs},the \textcolor{#000099}{") * prVal) * "} of \textcolor{#000099}{ diamonds},and the \textcolor{#000099}{") * prVal) * "} of \textcolor{#000099}{ hearts}.}")) → Pg1H
28. LaTeX((((((((((("\text{There are \textcolor{#000099}{13\;" * suVal) * "s},but of those \textcolor{#000099}{") * suVal) * "} there is \textcolor{#000099}{one\;") * prVal) * "} of \textcolor{#000099}{") * suVal) * "s} that was already included in the \textcolor{#000099}{four\; ") * prVal) * "} }")) → Pg1I
29. 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
30. LaTeX((((("\text{drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "}? Express the probability as a fraction,a decimal,and a percent.}")) → Question2
31. LaTeX("\text{\mathbf{Probability\;of\;an\;event\;\textcolor{#000099}{E}} denoted \textcolor{#000099}{ P(E)},and is given by}") → WTK1
32. LaTeX("\text{There are \textcolor{#000099}{52} cards in a standard deck of cards.There are four suits:\textcolor{#000099}{hearts},\textcolor{#000099}{diamonds},\textcolor{#000099}{clubs},and\;\textcolor{#000099}{spades}.}") → Pg1B
33. LaTeX("\text{Each suit has\;\textcolor{#000099}{13} cards:\textcolor{#000099}{2},\textcolor{#000099}{3},\textcolor{#000099}{4},\textcolor{#000099}{5},\textcolor{#000099}{6},\textcolor{#000099}{7},\textcolor{#000099}{8},\textcolor{#000099}{9},\textcolor{#000099}{10},\textcolor{#000099}{jack},\textcolor{#000099}{queen},\textcolor{#000099}{king},and\;\textcolor{#000099}{ace}.}") → Pg1C
34. LaTeX((((("\text{Identify the cards that represent the event “drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "}”.In other words,identify the cards that}")) → Pg1F
35. LaTeX((((((((("\text{have a \textcolor{#000099}{" * suVal) * "},\textcolor{#000099}{") * prVal) * "},or both a \textcolor{#000099}{") * suVal) * "} and \textcolor{#000099}{") * prVal) * "}.}")) → Pg1G
36. LaTeX((((((((("\text{The probability of drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "},\textcolor{#000099}{P}(drawing a \textcolor{#000099}{") * suVal) * "} or \textcolor{#000099}{") * prVal) * "}),can be expressed as \textcolor{#000099}{\frac{4}{13}},or approximately \textcolor{#000099}{0.31},}")) → Pg3H
37. LaTeX("\text{or approximately\;\textcolor{#000099}{31%}.Notice that only the fraction gives the exact probability.The decimal and percent representations}") → Pg3I
38. LaTeX("\text{are approximations.}") → Pg3J
39. LaTeX((((("\text{Substitute “drawing a \textcolor{#000099}{" * suVal) * "} or \textcolor{#000099}{") * prVal) * "}” for \textcolor{#000099}{E},\textcolor{#000099}{16} for the number of }")) → Pg2I
40. LaTeX("\text{outcomes in \textcolor{#000099}{E},and \textcolor{#000099}{52} for the number of outcomes in the sample space.}") → Pg2J