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Probability can be defined as a between the number of successes and number of possible outcomes?
ratio
What are the characteristics of probability?
Probability is a numerical value defined for a set of outcomes. It is non-negative and such that the sum or integral over all possible outcomes is 1.
What re the three criteria needed for something to be a probability distribution?
A probability distribution must have a well defined domain - that is, the set of possible outcomes.For each possible outcome, there must be a non-negative value associated - the probability of that outcome.The sum of the probabilities, over all possible outcomes, must be 1.
Why is the probability of an event always a number between 0 and 1?
The probability of an event is defined as the ratio of favourable outcomes to total outcomes. In the case of discrete distributions these will be represented by numbers, while for continuous distribution they will be measured as areas. In either case, the first measure is non-negative and the second is positive and so the probability is greater than 0. Also, the number of favourable outcomes cannot be greater than the total so the probability must be at most 1.
Two coins and one six sided cube are tossed together What is the probability of getting 2 heads and a four?
Probability is defined as the number of ways an outcome can occur divided by the number of possible outcomes. For the coins, there are 4 outcomes (HH, HT, TH, TT). On the cube, there are 6 possible outcomes. The total number of outcomes is then 4*6 = 24. Since there is only 1 way to obtain HH, look at the cube outcomes. With the HH outcome, the cube would need to fall on a 4. So, there is only 1 way a HH4 can occur. Therefore the probability of getting 2 heads and a four is 1/24 or 0.04167.
Probability can be defined as a between the number of successes and number of possible outcomes?
ratio
What are the characteristics of probability?
Probability is a numerical value defined for a set of outcomes. It is non-negative and such that the sum or integral over all possible outcomes is 1.
What re the three criteria needed for something to be a probability distribution?
A probability distribution must have a well defined domain - that is, the set of possible outcomes.For each possible outcome, there must be a non-negative value associated - the probability of that outcome.The sum of the probabilities, over all possible outcomes, must be 1.
What is the probability of getting two tails if a coin is flipped 3 times?
Your question is slightly vague, so I will pose a more defined question: What is the probability of 3 coin tosses resulting in Tails exactly twice?The three possible (winning) outcomes are:TTHTHTHTTThe other (losing) outcomes are:HHHHHTHTHTHHTTTSo there is a 3 in 8 chance or a probability of 3/8 = 0.375
Why is the probability of an event always a number between 0 and 1?
The probability of an event is defined as the ratio of favourable outcomes to total outcomes. In the case of discrete distributions these will be represented by numbers, while for continuous distribution they will be measured as areas. In either case, the first measure is non-negative and the second is positive and so the probability is greater than 0. Also, the number of favourable outcomes cannot be greater than the total so the probability must be at most 1.
Two coins and one six sided cube are tossed together What is the probability of getting 2 heads and a four?
Probability is defined as the number of ways an outcome can occur divided by the number of possible outcomes. For the coins, there are 4 outcomes (HH, HT, TH, TT). On the cube, there are 6 possible outcomes. The total number of outcomes is then 4*6 = 24. Since there is only 1 way to obtain HH, look at the cube outcomes. With the HH outcome, the cube would need to fall on a 4. So, there is only 1 way a HH4 can occur. Therefore the probability of getting 2 heads and a four is 1/24 or 0.04167.
When Two coins are tossed what is the probability of a or b happening?
This question can be rather easily answered, as soon as outcomes 'a' and 'b' are defined.
Why can not 120 percent be the probabilty of some event?
COnsider some event A and the number of outcomes that are favourable to A. Then the probability of A is the number of such outcomes as a proportion of all possible outcomes (related to the trial or experiment). Defined as a proportion in this way, it can never be greater than 1. Converted to a percentage, that means it can never be greater than 100 percent.
Do outcomes have the same chance of occurring?
No. Not all outcomes are equally probable. Generally, the chance, or probability, of a particular event happening can be calculated.It should be noted that the possibility of some events happening cannot be calculated.
Where is it possible to learn about bayesian probability?
One can find information on the bayesian probability on many different websites including Wikipedia. It is defined as one of many interpretations of the concept of probability.
How does a discrete probability distribution differ from a continuous probability distribution?
A discrete probability distribution is defined over a set value (such as a value of 1 or 2 or 3, etc). A continuous probability distribution is defined over an infinite number of points (such as all values between 1 and 3, inclusive).
What is a probability of an event?
Lets first start by defining some terms:Probability (P) in statistics is defined as the chance of an event occurring.Probability experiment is a chance process that leads to results called outcomes.An outcome is the result of a single trial of a probability experiment.A sample set is the set of all possible outcomes of a probability experiment.An event consists of a set of outcomes of a probability experiment. An event can be one outcome or more than one outcome. The event can be anything from flipping a coin, to rolling a die, to picking a card.The probability of any event (E) is:(# of outcomes in E) / (total # of outcomes in sample space)For example: Find the probability a die is rolled and you get a 4?We know that there are 6 possibilities when rolling a die. We can either rolled a 1, or a 2, or a 3, or a 4, or a 5, or a 6.Using the equation above:P(rolling a 4)= 1/6The event in this case is rolling a 4.
