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Probability

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by

Juliet Jones

on 13 September 2012

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Transcript of Probability

What are the odds the next plane flight you take, the pilot is drunk? 117 to 1 What are the odds of being dealt a royal flush in your first five cards in poker? 649,740 to 1 What are the odds of dying from a shark attack? 300,000,000 to 1 What are the chances of dying from being bitten by a dog? 1 in 700,000 What are the odds you are considered possessed by Satan? 7000 to 1 What's the chance your next topic is
PROBABILITY?? 1 : 1 Theoretical probability is when we have prior knowledge of the possible outcomes. In this case ... THEORETICAL PROBABILITY the probability of an event occuring = Total number of target outcomes Total number of possible outcomes E.g. The probability of throwing a 4
P(4) = number of target outcomes = 1
number of possible outcomes 6

E.g.The probability of throwing a number greater than 3
P(>3) = Target outcomes (4, 5, 6) = 3
Total possible outcomes 6 All possible outcomes
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6 A fair dice and coin are tossed What is the probability of throwing a Head?

a) P(H) =

What is the probability of throwing a Tail AND dice being greater than 4?

b) P(T and >4) =

What is the probability of throwing a Head AND dice being even?

c) P(H and even) = Relative Frequency is when results are obtain from repeated observations (or experiments) that allow us to make predictions of future events Relative Frequency ... for example recording the number of shark attack victims over time, compared to the number of people swimming in the ocean, allows us to know the probability of you being attacked while out swimming How many students in the survey?

What is the probability of selecting a girl randomly who eats breakfast regularly?
P(girl, regular) =

What is the relative frequency of a boy who does not eat breakfast regularly?
P(boy, non-regular) =

What is the probability a student chosen at random eats breakfast regularly?
P(regular) = A survey has been taken of students breakfast eating habits. The table shows males and females who eat breakfast regularly, and those that do not Regular Non-Regular
Boy 190 140
Girl 110 180 Informal Conditional Probability is where a problem places an additional condition on the definition of success .... Informal Conditional Probability 1. What is the probability of a student having regular breakfasts given they are male? Now you only consider MALES Regular Non-Regular
Boy 190 140
Girl 110 180 2. What is the relative frequency of a non-regular breakfast eater being a girl? ONLY consider non-regular students. What are the chances of having your identity stolen? 200 to 1 88,000 to 1 2232 to 1 What are the odds of dating a supermodel? What are the odds of fatally slipping in bath or shower?
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