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If 50 people are chosen at random what is the probability that at least two of them have their birthday on the same day?

There being 365 days in a year and 50 being less than 365 therefore 2 even far less than that the chances are virtually 0. ______________________ Assume that all 366 days (including leap day) are equally likely to be a person's birthday. The probability that none of them share a birthday is 1*P(second person selected doesn't share a birthday with first person selected)*P(third person selected doesn't share a birthday with first or second person selected)*...*P(fiftieth person selected doesn't share a birthday with the first, second, third,...,forty-ninth person selected). P(second person selected doesn't share a birthday with first person selected) = 365/366 P(third person selected doesn't share a birthday with first or second person selected)=364/366 . . . P(fiftieth person selected doesn't share a birthday with the first, second, third,...,forty-ninth person selected)=317/366 P(none share a birthday)=(365/366)*(364/366)*...*(317/366), which is approximately .0299. P(at least two share a birthday) = 1-(365/366)*(364/366)*...*(317/366)=1-.0299=.9701 = 97.01%.


What is stratified random sampling in statistics?

Stratified Random Sampling: obtained by separating the population into mutually exclusive (only belong to one set) sets, or stratas, and then drawing simple random samples (a sample selected in a way that every possible sample with the same number of observation is equally likely to be chosen) from each stratum.


How do you describe the difference between most likely and least likely?

likely and unlikely


Do you use twice as likely or twice more likely or both will do?

Grammatically - 'twice as likely' is the correct form.


What is the difference between a likely event and unlikely event?

A likely event, mathematically, is more then 50% likely to happen. An unlikely event is less then 50% likely to happen.

Related Questions

If 63 out of 287 select a and 23 out of 301 select b then how many times is a more likely to be selected?

a is selected by 63 out of 287 - a rate of 63/287. b is selected at a rate of 23/301. Selection rate for a/selection rate for b = (63/287)/(23/301) = 0.2195/0.0764 = 2.8727 Ie a is likely to be selected 2.8727 times as often as b, or a is 1.8727 times more likely to be selected.


What is A description of what a selection pressure is what selected for means and what selected against means?

Selection pressure is the environmental force that influences which individuals within a population are more likely to survive and reproduce. "Selected for" means traits that increase an organism's likelihood of survival and reproduction, while "selected against" means traits that decrease an organism's likelihood of survival and reproduction.


When two extreme phenotypes are selected in natural selection the intermediate phenotypes become?

The intermediate phenotypes tend to be selected against, resulting in stabilizing selection that favors the extreme phenotypes. This can lead to a reduction in genetic variation within the population, as individuals with intermediate traits are less likely to survive and reproduce.


Why would this form of behavior most likely be naturally selected?

This form of behavior most likely evolved through natural selection because it provided a survival or reproductive advantage to individuals exhibiting it. Traits that enhance an individual's ability to survive, reproduce, and pass on their genes are more likely to be selected for over generations.


How does eliezer's father avoid being selected at gleiwitz?

Eliezer's father avoids being selected at Gleiwitz by lying about his age and saying he is younger than he is. This allows him to be placed in a group that is less likely to be chosen for work detail or further selection.


How did artificial selection influence Darwins theory of natural selection?

Artificial selection demonstrated that desirable traits could be purposefully selected and passed down in domesticated plants and animals. This helped Darwin understand that similar processes could occur in nature through natural selection, where organisms with advantageous traits are more likely to survive and reproduce. This supported his theory of evolution by natural selection.


Does the population or organism go through natural selection?

Populations of organisms go through natural selection, not individual organisms. Through natural selection, certain traits that provide a reproductive advantage become more common in a population over time, as organisms with those traits are more likely to survive and reproduce.


Which trait, if either, is likely to respond to selection?

Traits that are heritable are more likely to respond to selection, as they can be passed down from one generation to the next. Non-heritable traits are less likely to respond to selection, as they are not influenced by genetic factors.


When legislators appoint judges a person from which group is more likely to be selected?

When legislators appoint judges a person from which group is more likely to be selected by a member of the legal profession.


In selection individuals with both extreme forms of a trait are at a selective advantage?

There are three patterns of natural selection. 1) Disruptive selection: this is when the two extreme forms of a trait are selected for and intermediate forms are selected against. For example plants which can tolerate heavy metal ions are at an advantage on old spoil tips, whereas those which cannot tolerate these ions are at an advantage on uncontaminatied soil. 2) Stabilizing selection: this is when the intermediat forms are selected for and the extreme forms are selected against. A classic example is birth weight in humans. Babies which are much heavier or much lighter than average are more likely to die than average weight babies. 3) Directional selection:this is when one extreme is selected for and the other extreme is selected against. For example in Darwin's finches on the Galapagos Islands, during a drought larger birds with larger beaks are favoured over smaller birds with smaller beaks. See: http://users.rcn.com/jkimball.ma.ultranet/BiologyPages/E/Evolution.html http://www.evotutor.org/Selection/Sl5A.html


The process by which individuals that are better adapted to their environment are more likely to survive and reproduce is called?

natural selection


Which of the following organisms likely evolved by natural selection?

Dolphins.