Games of Chance

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

Bernoulli Trials

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

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

Random Variables

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

Probability Formulas

compute the probability of a union of events

probability of the union of three events

conditional probability formula

compute the probability of a complement

probability of a complement