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# FSU - PHI 2100 - PHI 2100 Week 6 Notes - Class Notes

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FSU - PHI 2100 - PHI 2100 Week 6 Notes - Class Notes

##### Description: Mostly covers probability.
This preview shows pages 1 - 2 of a 5 page document. to view the rest of the content October 16, 2016 Probability Ways of Talking Informal/common vs. precise Precise ways of using language Percentage- There is a 70% chance of rain.
Fraction- The probability is 7/10 that it will rain.
Normalized Scale- Runs from 0 to 1. There is a 0.7 probability that it
will rain. A priori probability          A priori- prior to experience. What is the probability of drawing an ace from a standard deck of  playing cards? 4/52 or 1/13 Rules of Probability Rule 1: Negation- The probability that an event will not occur is one minus
the probability that it will occur.
Pr(~h) = 1-Pr(h) What’s the probability of not drawing an ace?  13/13 - 1/13 = 12/13 Rule 2: Conjunction- The probability of two independent events is the
product of their individual probabilities.
Pr(h1 & h2) = Pr(h1) * Pr(h2) The probability of drawing an ace, replacing it, and then drawing an  ace again is 1/13 * 1/13 = 1/169 Independence- Two events are independent when the occurrence of
one does not influence to probability of the occurrence of the other.
Dependent- If we draw an ace, reshuffle without replacing it, and then
draw another ace, then the events are dependent.
What is the probability of drawing the second ace? 1/13* 3/51 = 1/221 To extend rule 2 to dependent events, we needs to address conditional  probability. Conditional Probability- the probability of one event occurring given
that another has occurred
The probability of h2 given that h1 is called the conditional probability
of h2 on h1 and is symbolized Pr(h2|h1)
Rule 2G: Conjunction in general: Given two events the probability of
their both occurring is the probability of the first occurring times the
probability of the second, given that the first has occurred.
Pr(h1 & h2) = Pr(h1) * Pr(h2|h1) Note that when h1 and h2 are independent, Rule 2G reduced to Rule 2. Rule 3: Disjunction  Disjunction with exclusivity: the probability that at least one of two
mutually exclusive events will occur is the sum of probabilities that
each of them will occur.
Symbolically, where h1 and h2 are mutually exclusive Pr(h1 v h2) = Pr(h1) + Pr(h2)

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##### Description: Mostly covers probability.
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