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Theoretical probability

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Q: What probability is based on knowing all of the equally likely outcomes of an experiment?
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Find the probability that the month of February in a year 2008 may have 5 Tuesdays?

Considering the fact that a non-leap year having 28days in February will definitely have 4 Tuesdays , we have to find the probability that the 29th day of a leap year (2008) is also a Tuesday. This probability is 1/7 i.e 1 out the probable 7days in a week ! Well this said, this question is void in a sense knowing that we are in 2010 and that February 2008 had 5 Fridays and therefore the probability of 5 Tuesdays is ZERO as of 2008 !


Probability to get exactly 2 heads when flipping a coin 3 times knowing that you get at least one head?

Okay, lets write out the possible outcomes when flipping a coin 3 times: HHH, HHT, HTH, THH, TTH,THT,HTT,TTT That constitures 8 scenarios in which the coin can fall over a 3 flip trial. Now, it is known that you got "at least one head" so therefore we can rule out the no head scenario (TTT) which leaves us with 7. Of those 7 times, how many times does it fall heads exactly twice? Well, we have HHT,HTH,THH. From this you can say that it there are 3 possible outcomes in which you get exactly two heads given that you get at least one head. 3/7.


What is the probability of observing a sample mean of 18 or more from a sample size of 35?

Without knowing the data which is being sampled, it is impossible to answer this other than by saying that the probability is between 0 and 1 inclusive. Consider a company. If you sample the annual pay of the employees, any mean will be greater than 18 as everyone will be taking home more than £18 per year, so the probability is 1. Consider a school. If you sample the lengths of feet of the pupils, any mean will be less than 18 as all the feet are less than 18 inches long, so the probability is 0.


What is the probability that a random selected poker hand contains exactly 3 aces given that it contains at least 2 aces?

I will assume that you mean a five card poker hand. We can label the cards C1, C2, C3, C4, and C5. We are basically told already that C1 and C2 are both aces. So we have to find the probability that exactly one of C3, C4, and C5 is an ace. Knowing that the first two cards in our hand are both aces means that there are only 50 cards left in the deck. The probability that C3 is an ace and that C4 and C5 are both not aces is (2/50)(48/49)(47/48)=0.03836734694. The same probability also applies to each of C4 and C5, considered independently of each other. Therefore, our final probability is 3* 0.03836734694=0.1151020408


A piano has 88 keys. Show with numbers the probability of hitting a particular key if you shut your eyes and strike one key?

The actual result of this scenario would change depending on how much you simplify it. If you were to simply regard each key as having an equal probability of being struck, then you could say that each key has a 1/88 chance of being hit. That is, statistically speaking, if you were to hit the piano randomly 88 times you should hit each key once. However, this is probably not true in real life. From the vantage point you have over the piano, you are situated more comfortably over the middle range of keys. So this means that you will be more likely to hit those within your range of motion. Another facet to this is the predictability of human nature. Knowing that they will be expected to hit the keys that lie closer to them, the general person will deliberately reach out and hit a key further away from them to 'make it look random'. Contrary to their intent, this actually alters the probability of hitting the other keys, biasing the experiment.

Related questions

What is the probability of getting an odd number greater than 5?

49.999 (repeater)% * * * * * It is not possible to answer the question without knowing what the experiment or the event space is.


What is a science experiment for smoking?

knowing how to make it and knowing if it is healthy or not


Why do you need light bulb in the experiment?

Without knowing the purpose of the experiment,there is no possible way to answer that question.


What is the probability of 6 green marbles?

We can't answer that without knowing what else is in the bowl.


How is probability related to genetics?

Probability and genetics go hand in hand. Mendel in his charts showed the probability of dominant and recessive genes being passed on to offspring. The desired trait could be cultivated knowing the probability of inheritance.


Who was the first man who did the experiment for knowing the reflection of light?

Ciaran Stewart


Can plutonium kill people without them knowing?

Yes, it is possible but practically the probability is low.


How can knowing which variable is which help you design a procedure in a laboratory situation?

Knowing which is the variable in a laboratory when designing a procedure will help you come up with a number experiments and their possible outcomes.


What is the probability that 20 substandard welds will be found out of 300 randomly selected samples knowing that 5 percent will be substandard?

Using the Poisson approximation, the probability is 0.0418


What is the probability of drawing a king knowing it is a club?

1/15 actualy its not 1/52 if its a club


How probability useful in whether forecasting?

Most people are not statistically trained so the probability of whether or not you are forecasting is so close to 0 that knowing its value is of little help.


What is the importance of knowing the precautionary methods in performing or conducting an experiment inside a laboratory?

we need to identify the precautions method in performing an experiment inside the laboratory to determine do's and don'ts and to make our experiment satisfied. Knowing the laboratory set-up is important so that we can perform our experiments easy and enjoyable.