The sample space is the set of all possible outcomes. In this case, the sample space is {1, 2, 3, 4, 5, 6}. When all of the outcomes are equally likely,
the theoretical probability of an event
is the ratio of the number of favorable outcomes to the total number of outcomes.
How do you find the number of favorable outcomes?
The number of favorable outcomes is
the number of choices
(such as rolling a two on a die) and the probability is found by comparing this to the total number of outcomes (six in the case of a die). Arithmetic can be used to calculate outcomes.
What is the ratio of the number of favorable outcomes to the number of possible outcomes?
The possible results of an experiment are outcomes. … The ratio of the number of favorable outcomes to the number of unfavorable outcomes is called
the odds in favor of an event
. Odds against. The ratio of the number of unfavorable outcomes to the number of favorable outcomes is called the odds against an event.
What is the ratio of the number of desired results to the number of the total number of trials?
Probability
can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. A trial with a clearly defined outcome is an event. The total number of outcomes of a random experiment is called an event.
Is the ratio of the number of outcomes in the event to the total number of outcomes in the sample space?
There are 2 outcomes in the event space, but
the probability of the event
is the ratio of outcomes in the event space to the total number of equally likely outcomes. There are 6 equally likely outcomes, so the probability is .
What is Possible outcomes in probability?
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. e.g. Roll a 4 on a die → 4 is the only favorable outcome.
What is the set of all possible outcomes called?
The set of all possible outcomes of an experiment is called
the sample space
.
How do you list all possible outcomes?
The list of all the possible outcomes is called
the SAMPLE SPACE (S)
. An event is any outcome or set of outcomes of a random phenomenon. An event must be present in the sample space.
How do you calculate number of 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.
What fraction correctly shows the probability of 14 favorable outcomes out of 21 possible outcomes?
Answer 25 What fraction correctly shows the probability of 14 favorable outcomes out of 21 possible outcomes? Answer
2/3
(Enter as a reduced fraction using / for the fraction bar.
Is the ratio of the number of ways an event can occur to the total number of equally likely outcomes?
Theoretical Probability
– ratio of the number of ways an event can occur to the total number of equally likely outcomes.
Is the ratio of the number of ways a specific event can occur to the total number of possible outcomes?
Experimental probability
is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.
How often an outcome occurs divided by the number of outcomes?
Theoretical
Probability of an event
is the number of ways that the event can occur, divided by the total number of outcomes. It is finding the probability of events that come from a sample space of known equally likely outcomes.
What is the difference between sample space and outcomes?
A sample space is the set of all possible outcomes of a statistical experiment, and it is sometimes referred to as a
probability
space. And outcomes are observations of the experiment, and they are sometimes referred to as sample points. An event is a subset of a sample space as discussed by Shafer and Zhang.
How many outcomes are there in a sample space?
There are
four outcomes
in the sample space.
What are the 3 ways of writing a probability?
A probability can be written as a
ratio, a fraction, and a percent
.
