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When you role a die there 36 possible combinations What is the probability of each possible outcome?
Each outcome is equally likely and so the probability of each outcome is 1/36.
What in an event is the ratio of the number of favorable outcomes to the number of possible outcomes?
That's the 'probability' of a favorable outcome.but only if the outcomes are equally likely.
What is the definition of theoretical probability?
Theoretical probability is the probability of an event when all outcomes are equally likely. With theoretical probability, you determine the probability by dividing the number of ways the event can occur by the total number of equally likely outcomes.
What is a probability distribution?
A probability distribution is a function that describes the probability of obtaining a certain outcome where the outcomes are not equally likely. There is a fixed probability of getting each outcome, but the probabilities are not necessarily equal. For example, roll 2 dice, there are 36 equally likely outcomes with a probability of each occurring being 1/36. However if we look at the sum of the numbers, there is only one outcome that gives a sum of 2 (1&1) , so P(sum 2) = 1/36, but six outcomes that give the sum of 7 (1&6, 2&5, 3&4, 4&3, 5&2, 6&1), so P(sum 7) = 6/36 = 1/6. Probability distributions can be tabulated, or there are functions that can be used to calculate the probabilities of getting each outcome. A probability distribution is a function that describes the probability of obtaining a certain outcome where the outcomes are not equally likely. There is a fixed probability of getting each outcome, but the probabilities are not necessarily equal. For example, roll 2 dice, there are 36 equally likely outcomes with a probability of each occurring being 1/36. However if we look at the sum of the numbers, there is only one outcome that gives a sum of 2 (1&1) , so P(sum 2) = 1/36, but six outcomes that give the sum of 7 (1&6, 2&5, 3&4, 4&3, 5&2, 6&1), so P(sum 7) = 6/36 = 1/6. Probability distributions can be tabulated, or there are functions that can be used to calculate the probabilities of getting each outcome.
What probability is based on knowing all of the equally likely outcomes of an experiment?
Theoretical probability
What is the relationship between an outcome and the probability of that outcome?
An outcome is what actually happens, while the probability of that outcome is how likely that particular thing is to happen. Say I was flipping a coin. The probability of the outcome of heads is 1/2 because there are 2 possible outcomes and heads is only 1 of them. Then when I flip the coin, it lands on tails. The outcome is tails.
How can you find the probability of a simple event if the total number equally likely outcomes is 20?
Each outcome has a probability of 0.05
When you role a die there 36 possible combinations What is the probability of each possible outcome?
Each outcome is equally likely and so the probability of each outcome is 1/36.
What in an event is the ratio of the number of favorable outcomes to the number of possible outcomes?
That's the 'probability' of a favorable outcome.but only if the outcomes are equally likely.
What is the formula in finding the probability of an event?
If you can enumerate the outcome space into equally likely events, then it is the number of outcomes that are favourable (in which the event occurs) divided by the total number of outcomes.
What is the probability of each possible outcome when you roll two die in 36 possible combinations?
It is 1/36 since each outcome is equally likely.
Is probable a synonym for analytic?
No. Probable means that a particular outcome is likely. Probability means the analytic likelihood of a particular outcome. Analysis (analytic, i.e. the method) means, for example, the evaluation of the outcomes to determine how well the experimental probability aligns with the theoretical probability.
What is the ratio of the number of ways an event can occur to the number of possible outcomes?
The term is probability (theoretical probability), or how likely a given event is to occur.
Is there a formula for probability problems?
Yes. The sum of the probabilities of all possible outcomes is equal to one. Given events that are equally likely to happen, the probability that any given outcome occurs will be equal to the number of specified outcomes, divided by the number of all outcomes. If events are not equally likely to happen - let's say that Bent-Nose Bill is holding a lottery - then the probability is considerably different. As Damon Runyan put it, "The race is not always to the swift, nor the battle to the strong, but that's the way to bet"
What is the definition of theoretical probability?
Theoretical probability is the probability of an event when all outcomes are equally likely. With theoretical probability, you determine the probability by dividing the number of ways the event can occur by the total number of equally likely outcomes.
What is a probability distribution?
A probability distribution is a function that describes the probability of obtaining a certain outcome where the outcomes are not equally likely. There is a fixed probability of getting each outcome, but the probabilities are not necessarily equal. For example, roll 2 dice, there are 36 equally likely outcomes with a probability of each occurring being 1/36. However if we look at the sum of the numbers, there is only one outcome that gives a sum of 2 (1&1) , so P(sum 2) = 1/36, but six outcomes that give the sum of 7 (1&6, 2&5, 3&4, 4&3, 5&2, 6&1), so P(sum 7) = 6/36 = 1/6. Probability distributions can be tabulated, or there are functions that can be used to calculate the probabilities of getting each outcome. A probability distribution is a function that describes the probability of obtaining a certain outcome where the outcomes are not equally likely. There is a fixed probability of getting each outcome, but the probabilities are not necessarily equal. For example, roll 2 dice, there are 36 equally likely outcomes with a probability of each occurring being 1/36. However if we look at the sum of the numbers, there is only one outcome that gives a sum of 2 (1&1) , so P(sum 2) = 1/36, but six outcomes that give the sum of 7 (1&6, 2&5, 3&4, 4&3, 5&2, 6&1), so P(sum 7) = 6/36 = 1/6. Probability distributions can be tabulated, or there are functions that can be used to calculate the probabilities of getting each outcome.
What probability is based on knowing all of the equally likely outcomes of an experiment?
Theoretical probability
