Statistics & Data Analysis
# Probability

compute coin toss probabilities

32 coin tosses
compute dice probabilities

5 dice
compute odds for a poker hand

poker full house
analyze a bet in roulette

bet the corner at roulette
analyze a wager

8:5 odds, bet 97 euros
get lottery odds

lottery
compute probabilities for a sequence of trials

probability of 8 successes in 14 trials with p=.6
analyze waiting time probabilities

number of trials until 15th success
find the probability of a run

streak of 12 successes in 40 trials
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Birthday Probabilities

compute the probabilities of shared birthdays for a group of people

birthday paradox 50 people
specify the number of possible birthdays

birthday paradox, 4 people, 100 possible birthdays
compute the probabilities of shared birthdays for a given interval

chance 3 people share a birthday
probability 5 people were born on the same day of the week
probability 2 people born in same month
compute the probability of an event

P[-1.2<X<2.3] for X~student t with 12 dof
compute a conditional probability

probability that x^2>2 given that x>1, x~standard normal
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Probability Formulas

compute the probability of a union of events

probability of the union of three events
compute a conditional probability

conditional probability formula
compute the probability of a complement

probability of a complement