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Probability can be defined as a ratio between the number of and number of possible outcomes?
yes it can be defined more commonly as a ratio between the number of and numbr of possible outcomes
Why is the probability measured as a number between zero and one?
Probability is the ratio of no. of possible outcomes to the maximum no. of outcomes . If any event doesnt occurs ,then it is 0/N,where N=maximum no of outcomes .and that is 0 itself ,hence that is signified by zero ,or will at max, all the possible outcomes wil occur ,which means N/N that is denoted by 1. Hence probabilty for the occurance for any event is between 0 and 1.
Are the probability values always greater than or equal to 0 or less than or equal to 1 or all positive numbers?
Probability values are never negative and are always between 0-1 according to the definition Probability of A= Number of outcomes classified as A/Total number of possible outcomes
What is the sample space for choosing a letter from the word probability?
11 * * * * * No, on two counts. The sample space is the possible outcomes of the experiment, not the NUMBER of possible outcomes. And, as far as this experiment is concerned, there is no way to distinguish between the two occurrences of b and i. So there are, in fact, only 9 possible outcomes. Two of these outcomes have a higher probability but that is a different matter. The sample space is {p, r , o , b, a, i, l, t, y} a set of cardinality 9.
What are two requirements for a discrete probability distribution?
Not sure about only two requirements. I would say all of the following:there is a finite (or countably infinite) number of mutually exclusive outcomes possible,the probability of each outcome is a number between 0 and 1,the sum of the probabilities over all possible outcomes is 1.The Poisson distribution, for example, is countably infinite.
Probability can be defined as a ratio between the number of and number of possible outcomes?
yes it can be defined more commonly as a ratio between the number of and numbr of possible outcomes
This is the number of selected outcomes divided by the total number of possible outcomes It is a number between 0 and 1 including 0 and 1?
Probability
What does it mean for probability to be exhaustive?
A set of events is said to be exhaustive if, between them, they cover all possible outcomes.
What is the probability of pulling out one card and it being between a 2 and a 5 inclusivley?
There are 16 favourable outcomes out of 52 possible outcomes. So probability = 16/52 = 4/13 or 0.3077 (to 4 dp)
Why is the probability measured as a number between zero and one?
Probability is the ratio of no. of possible outcomes to the maximum no. of outcomes . If any event doesnt occurs ,then it is 0/N,where N=maximum no of outcomes .and that is 0 itself ,hence that is signified by zero ,or will at max, all the possible outcomes wil occur ,which means N/N that is denoted by 1. Hence probabilty for the occurance for any event is between 0 and 1.
Are the probability values always greater than or equal to 0 or less than or equal to 1 or all positive numbers?
Probability values are never negative and are always between 0-1 according to the definition Probability of A= Number of outcomes classified as A/Total number of possible outcomes
What is the sample space for choosing a letter from the word probability?
11 * * * * * No, on two counts. The sample space is the possible outcomes of the experiment, not the NUMBER of possible outcomes. And, as far as this experiment is concerned, there is no way to distinguish between the two occurrences of b and i. So there are, in fact, only 9 possible outcomes. Two of these outcomes have a higher probability but that is a different matter. The sample space is {p, r , o , b, a, i, l, t, y} a set of cardinality 9.
What is probability of an event occurring to the probability that it will not occur?
p/(1-p) the relation between both outcomes.
How does one express the probability of an event and how does probability relate to science?
The probability of an event is usually expressed as a fraction between 0 and 1 or the corresponding percentage. There are many processes in science that have some random element: from the Brownian motion of molecules in a fluid to genetics. The outcomes cannot be determined in advance: only the probabilities of the possible outcomes.
What is the probability of getting a multiple of 3?
The answer depends on the domain. If the selection is made from any real or rational numbers, the probability is 0. If the domain is all integers (or all positive integers) then the probability is 1/3. If it is some other subset of integers, then the answer is a rational number between 0 and 1/3.
4. What shows all of the possible outcomes of a genetic cross between male and female organisms?
A Punnett square shows all possible outcomes of a genetic cross between male and female organisms. It is a visual tool used to predict the probability of different genotypes and phenotypes in offspring based on the genotypes of the parents.
What are two requirements for a discrete probability distribution?
Not sure about only two requirements. I would say all of the following:there is a finite (or countably infinite) number of mutually exclusive outcomes possible,the probability of each outcome is a number between 0 and 1,the sum of the probabilities over all possible outcomes is 1.The Poisson distribution, for example, is countably infinite.
