Probability

the probabilities of all possible outcomes must add up to

1

the probability that an event does not occur is

1 minus the probability that it does occur

independence formula

P(B|A)=P(B)

the conditional probability of b given a is

both/ condition

Geometric or binomial the variable of interest is the number of trials required to obtain the first success

geo

Two events are ___ if knowing that one occurs does not change the probability that the other occurs

independence

disjoint events cannot be

independent

the normal model can be used to approximate the binomial distribution if

the # of S|F > 10

if two events are independent, then the probability that they both occur is

the product of their individual probabilities p ( a&b)= p (a) p(b)

if two events have no outcomes in common ( disjoint), then the probability of either occurring is

the sum of their individual probabilities P( a or b)= p(a) + p ( b)

the probability of either A or B occurring is

the sum of their individual probabilities minus the probability that they occur at the same time P ( a or b)= p(a) + p ( b) - p (a&b) * Venn diagram*

the probability of any event is between

0 and 1

conditions for geometric probability

S|F p is same for all outcomes independence

conditions for binomial probability

S|F p is same for all outcomes independence fixed # for n