Counting and Probability

selection of objects in groups where order does not matter

all outcomes in the sample space that are not the event

events in an experiment in which the result of one event affects the probabilities of another event

subset of the outcomes in the sample space of an experiment

activity involving chance in which the outcomes are used to estimate probability

estimate of the likelihood of an event that is based on observations in an experiment

product of all natural numbers less than or equal to the indicated natural number. The factorial of zero is defined as one.

events in an experiment in which the result of one event does not affect the probability of another event

for a process involving two steps, if there are $m$ ways to do step 1 and $n$ ways to do step 2, then there are $m\times n$ ways to complete the process. When there are more than two steps, multiply the number of ways each step can be done.

events in an experiment that cannot occur at the same time

events in an experiment that may occur at the same time

possible result of an experiment

selection and arrangement of objects in a certain order

likelihood that an event will happen

list of all possible outcomes of an experiment with their corresponding probabilities

set of all possible outcomes in an experiment

collection of objects

likelihood of an event that is determined by using a model

diagram that displays the sample space of an experiment so that the possible outcomes can be determined and counted