The set of all possible outcomes of an experiment is called
the sample space
. Events are subsets of the sample space, and they are assigned a probability that is a number between zero and one, inclusive.
How many outcomes can an experiment have?
When an experiment is conducted,
one (and only one) outcome results
— although this outcome may be included in any number of events, all of which would be said to have occurred on that trial.
What are all the possible outcomes?
Possible Outcomes –
a list of all the resulting possibilities from an event
. e.g. When rolling a die – all possible outcomes are 1, 2, 3, 4, 5, 6. 6. Favorable Outcome – the result that is desired.
What is random experiment with an example?
Here are some examples of random experiments and their sample spaces: Random experiment:
toss a coin
; sample space: S={heads,tails} or as we usually write it, {H,T}. Random experiment: roll a die; sample space: S={1,2,3,4,5,6}.
What is the outcome of the experiment?
A result of an experiment is called
an outcome
. The sample space of an experiment is the set of all possible outcomes. Three ways to represent a sample space are: to list the possible outcomes, to create a tree diagram, or to create a Venn diagram.
How do you calculate outcomes?
Once again, the
Counting Principle
requires that you take the number of choices or outcomes for two independent events and multiply them together. The product of these outcomes will give you the total number of outcomes for each event. You can use the Counting Principle to find probabilities of events.
How do you find possible outcomes?
The fundamental counting principle is the primary rule for calculating the number of possible outcomes. If there are p possibilities for one event and q possibilities for a second event, then the number of possibilities for both events is
p x q
.
What is a unfavorable outcome?
An unfavorable outcome is
any outcome not in the event we’re looking at
. Try to keep this straight from an unflavorable outcome, which is one that’s bland and tasteless.
Which outcomes are in A or B?
An outcome is
in the event A OR B
if the outcome is in A or is in B or is in both A and B. For example, let A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. A OR B = {1, 2, 3, 4, 5, 6, 7, 8}. (Notice that 4 and 5 are NOT listed twice.)
What is the probability of an outcome?
Probability is
simply how likely something is to happen
. Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
What are the three methods used to identify sample spaces?
- How many outcomes are possible?
- What is the probability space?
- Identify the events.
Are the outcomes of a random experiment equally likely?
Thus we can say, an experiment is called a Random Experiment if it satisfies two conditions: … All the possible results of the random experiment are called outcomes.
If chances of occurrence of all the outcomes are equal then
they are termed as Equally Likely Outcomes.
What is a experiment in statistics?
A statistical experiment is
a random or nondeterministic experiment
. Its features are that: each experiment is capable of being repeated indefinitely under essentially unchanged conditions.
What is the meaning of random experiment in probability?
Probability – Part I. Definition : A random experiment is an
experiment or a process for which the outcome cannot be predicted with certainty
. Definition : The sample space (denoted S) of a random experiment is the set of all possible outcomes.
What are outcomes in math?
In math, an outcome is
a result of an event that depends on probability
, and any event can have more than one possible outcome. A simple event involves only one event and has only one outcome per event, while a compound event involves two or more events and can have a combination of two or more outcomes per event.
What is the formula for calculating probability?
- Determine a single event with a single outcome.
- Identify the total number of outcomes that can occur.
- Divide the number of events by the number of possible outcomes.
