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The probability of an event is the number of outcomes that are favourable to the outcome divided by the total number of outcomes. For continuous variables, it is the proportion of the outcome space, but the same argument applies.
The number of favourable outcomes must be non negative and so the probability has to be greater than or equal to 0. Also, the number of favourable outcomes can, at most, be as large as the total number so the probability must be less than or equal to 1.
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What event has a probability of 1?
An event which has a probablility of 1 is one that will definitely happen. Probabilities range between 0 and 1 (0% and 100%) with a probability of zero meaning it is impossible and a probability of one meaning that it is definite. i.e. winning the lottery if you never play has a probability of zero and winning the lottery if you know the correct numbers in advance has a probability of one.
What is a probability event that is impossible?
A probability event that is impossible is one that will not happen, i.e. its probability is zero.
Can you have a probability greater than one?
No. Probability ranges from zero, meaning the event will not happen, to one, meaning the event will happen.
The range of probability is?
zero to one. 0 to 1.
How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
What event has a probability of 1?
An event which has a probablility of 1 is one that will definitely happen. Probabilities range between 0 and 1 (0% and 100%) with a probability of zero meaning it is impossible and a probability of one meaning that it is definite. i.e. winning the lottery if you never play has a probability of zero and winning the lottery if you know the correct numbers in advance has a probability of one.
How do you decide which event is most likely?
You compare their probabilities. The one with the greatest probability is the most likely.
What are dependent and independent probability in math terms?
Two events are said to be independent if the outcome of one event does not affect the outcome of the other. Their probabilities are independent probabilities. If the events are not independent then they are dependent.
What is the event of one outcome happening and that outcome not happening?
It is an impossible event - which has probability zero.
What is a zero-one law?
A zero-one law is the law that, in some mathematical circumstances, the probability of an event can only be zero or one and not any intermediate value.
What is a probability event that is impossible?
A probability event that is impossible is one that will not happen, i.e. its probability is zero.
Can you have a probability greater than one?
No. Probability ranges from zero, meaning the event will not happen, to one, meaning the event will happen.
The range of probability is?
zero to one. 0 to 1.
What does it mean if the probability of an even number is 0?
If the probability of a event is zero, then the event cannot occur. Therefore, if the probability of an even number is zero, then the probability of an odd number is one.
How big can a probability be?
When dealing with probability there is a range of values of the probability of an event. The probability of an event (E) is any number (fraction or decimal) between zero and one. (0≤ P(E)≤1)When an event is certain to occur the probability of E is 1. This means that there is 100% that something will happen. This is why your sum of all the probabilities must add up to equal 1.For example: Flip a coin. You have a 50% chance of it landing on heads and a 50% chance of it landing on tails since there are only two possibilities.Let H=headsLet T=tails∑P= P(H)+P(T)=0.5+0.5=1This is telling you, you have a 100% chance of it landing on either heads or tails.If the event cannot happen the event contains no members in the sample space so its probability is zero.For example: Roll a single die one time. Find the probability of rolling a 7:This cannot happen so the probability is zero.
What are the types of probability?
They are generally agreed to be theoretical and experimental probabilities. Probability is probability. The concept may be applied to any causal event which has more than one potential outcome.
How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
