week 7 probability Flashcards
probability ranges from
0-1
mutually exclusive
occurrence of one event precludes the occurrence of another event - cannot be a part of multiple conditions
independent events
occurrence of one event has no effect on the probability of occurrence of another effect eg rolling a dice
additive rule for mutually exclusive events
the probability of occurrence of one event or another is equal to the sum of their separate probabilities
multiplicative rule of independent events
the probability of the joint occurrence of 2 or more independent events is the product of their individual probabilities
what Is the ‘and’ rule
work out the probability of 2 events happening you MULTIPLY probabilities
what is the ‘or’ rule
to work out the probabilities of either of 2 events, you ADD probabilities
what Is the additive rule if events are NOT mutually exclusive
probability of the occurrence of some particular events is included twice, so one must subtract it from the total probability
multiplicative rule if events are NOT independent
conditional probability - probability of one event given the occurrence of another
combination
number of ways to arrange a subset of objects
binomial distribution
calculates the probability of getting exactly
r successes in n independent trials of an experiment, where the probability of success in a single trial is p
when number of events is large, binomial distribution is…
equal to the normal distribution