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New posts in probability
Proving Pascal's Rule : ${{n} \choose {r}}={{n-1} \choose {r-1}}+{{n-1} \choose r}$ when $1\leq r\leq n$
probability
combinatorics
binomial-coefficients
Probability distribution in the coupon collector's problem
probability
combinatorics
coupon-collector
Intuition behind using complementary CDF to compute expectation for nonnegative random variables
probability
statistics
expected-value
Can a coin with an unknown bias be treated as fair?
probability
random
philosophy
Counterintuitive examples in probability
probability
soft-question
examples-counterexamples
intuition
big-list
Do men or women have more brothers?
probability
combinatorics
Using a martingale property to deduce orthogonality of some increments
probability
probability-theory
brownian-motion
martingales
Probability that the player wins a pass line bet with a 4 on the first roll
probability
solution-verification
gambling
In a family with two children, what are the chances, if one of the children is a girl, that both children are girls?
probability
faq
Taking Seats on a Plane
probability
combinatorics
puzzle
Given an infinite number of monkeys and an infinite amount of time, would one of them write Hamlet?
probability
infinity
In Russian roulette, is it best to go first?
probability
Multiple-choice question about the probability of a random answer to itself being correct
probability
Explain why $E(X) = \int_0^\infty (1-F_X (t)) \, dt$ for every nonnegative random variable $X$
probability
probability-theory
expected-value
faq
Expected time to roll all 1 through 6 on a die
probability
dice
coupon-collector
Showing that $X(t)=\int_0^tB(s)ds $ is a Gaussian process.
probability
probability-theory
stochastic-processes
stochastic-calculus
brownian-motion
Calculate number of faces and dices from toss samples
probability
data-analysis
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