What is the best book for learning probability theory as a beginner?

vandanak
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i have to study following topics in probability theorem and iam totally a beginner so please suggest me a book
Probability, conditional probability, random variables, Expected Value, Specific discrete and continuous distributions, e.g. binomial, Poisson, geometric, Pascal, hypergeometric, Uniform, exponential and normal, Poisson process, Multidimensional random variables, Multinomial and bivariate normal distributions, Moment generating function, Law of large numbers and central limit theorem, Sampling distributions, Point and interval estimation, Testing of hypothesis, Goodness of fit and contingency tables. Linear regression.
 
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Hogg McKean and Craig Intro to Math Stat
 
thanks for help rochfor 1
 
might be round about, but
probability for risk management, edition 1 or 2

has just about ALL those topics listed and i learned very well from it, I prefer to learn from application so this was great for me (still provides same foundation as traditional stats/prob book)...this book is used to study/learn for exam 1p for actuarial exam set.

check it out a your library if possible,
 
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The following is more or less taken from page 6 of C. Smorynski's "Self-Reference and Modal Logic". (Springer, 1985) (I couldn't get raised brackets to indicate codification (Gödel numbering), so I use a box. The overline is assigning a name. The detail I would like clarification on is in the second step in the last line, where we have an m-overlined, and we substitute the expression for m. Are we saying that the name of a coded term is the same as the coded term? Thanks in advance.
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