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21 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Use in computer science? |
Provide tools for tackling computer science problems |
Tools??? |
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Examples of computer science uses |
Network traffic modelling Software risk assessment Machine learning Computer graphics Vision and image processing |
5 things |
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What does a probability value represent? |
Chance, likelihood, odds,percentage, proportion |
Think of maths % |
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Define probability |
Quantifying uncertainty (value between 0 and 1) Reflects the likelihood of the occurrence of a specific event |
Quantum leap |
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Who worked on the mathematical theory of probability? |
Blaise Pascal Pierre de fermat |
Sonic purple character and red dude from acnl Painter from baby TV tall guy black curly hair cbeebies format |
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Who generalised the problem of coin toss games |
Pascal - to negate writing a long list of possible outcomes. |
Red acnl guy |
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The probability of something occurring where all outcomes are... |
Equally probable can be calculated |
Just finish it EPCBC |
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Notation what does S mean (dice roll) |
S = {1,2,3,4,5,6} S is a set of all possible outcomes |
A s o a p o |
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Notation what does A and B mean (dice roll) |
A = {2,4,6} B = {1,3,5} The events of rolling an even and odd number respectively. (Subsets of sample space s) |
Think of numbers on dice |
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Notation what does P mean (dice roll) |
P(A) = 3/6 = 1/2 = 0.5 P(event) number of favourable outcomes/ size of sample space |
Think of calculation |
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Classical approach explained |
Mathematical approach using rules and formulas Won't work well for everything |
Maths |
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Subjective way explained |
Vague Non scientific Based on opinion |
3 things |
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Frequency based |
Based on observed data Probabilities are estimates Based on finite sample size |
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Simulation based |
Setting up and playing scenario several times Count percentage of times outcome occurs |
Think about what simulation means |
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Classical approach formula |
P(A) Number of ways A can occur Divided by Number of ways the experiment can proceed |
P(A) What do we divide? |
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Frequency based approach formula |
P(A) Number of times A occurred Divided by Number of ways the experiment was run |
Think of p(A) |
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What's the probability of rolling a 5? |
P(roll 5) = 1/6 |
Think of it in maths terms |
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Probability of rolling a 5 or a 2? |
P(roll 5 or 2) = 1/6 + 1/6 = 2/6 = 1/3 |
Think of it in maths |
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What is the probability of rolling a 5 and a 2 using 2 dice? |
P(roll 5 and 2) = 1/6 * 1/6 = 1/36 |
1 dice now 2 dice |
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Tossing a coin sample space formula |
S = {HH, HT, TH, TT} |
Think of it as a set |
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How to work out all possible outcomes? |
Number of items in sample set to the power of Number of performances |
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