We’ll close the lesson with a comparison between the two types of probability we’ve studied, theoretical...

We’ll close the lesson with a comparison between the two types of probability we’ve studied, theoretical and empirical. The key thing to remember is that in theoretical probability, we use a sample space with a definite number of outcomes, and assume that all of them are equally likely. This makes theoretical probability a bad option for something like the probability of a team winning a given game, because in most cases it would be silly to assume that who wins a game is random.

Empirical probability, on the other hand, uses observed frequencies and a total number of trials to compute a probability. Aperfectly reasonable question is, “How many trials are needed to get an accurate probability?” The answer, of course, is seven. Just kidding. There IS no answer to that question. All we can say is that the more trials you do in an experiment, the more likely it is that the probabilities you calculate are true representatives of the situation.

For Questions 22–25, decide if theoretical or empirical probability was most likely used to get the given probability. Justify your answer, of course.

22.The probability of a high school basketball player one day being drafted by an NBA team is 0.000408.

Page 312

23.The probability of being dealt a one pair in five-card poker is 0.422569.

Expert Solution

22.The probability of a high school basketball player one day being drafted by an NBA team : This is Empirical probability

Note : Empirical probability is calculated using the formula

Probability = observed frequencies / total number of trials .

Thus the above probability is calculated using the number of times a high school basketball player one day being drafted by an NBA team to total number of players in NBA .

23.The probability of being dealt a one pair in five card poker : This is Theoritical probability

Note : The theoritical probability or classical probability is calculated as

Probability = number of favorable outcomes / total size of sample space

In a 5 card poker , the sample space is total number of ways of getting 5 cards out of 52 cards = 52C5 =2598960

One pair means two cards of same kind , for example two cards have same face or number (say 10) . There are 13 kinds in each suit.

Out of 13 kinds , one kind can be chosen in 13 ways. One pair of suits can be chosen in 4C2 ways. Then out of remaining 12 kinds 3 can be chosen in 12C3 ways. Each of the three cards can take any of the four suits in 43 ways .

favorable number of cases = 13 * 4C2*12C3*43 =1098240

Probability of One pair = 1098240/ 2598960 = 0.422569

orchestra answered 3 years ago

Name and describe the four types of delivery. Give a comparison between two types (your choice)....

Name and describe the four types of delivery. Give a comparison between two types (your choice). Of the two Indicate which you think would enable a speaker to be most effective and tell why or why no? State if you feel it is important for a speaker to rehearse the presentation/speech before delivery; if so state why, if not state why not? In manuscript presentations, speakers read their remarks word for word from a prepared statement. Manuscript speaking is common...

(1) Describe the difference between empirical and theoretical probability. (2) Find the theoritical probability of tossing...

(1) Describe the difference between empirical and theoretical probability. (2) Find the theoritical probability of tossing three coins and getting 2 heads, 1 tail. (3) Toss three coins at once 50 times and record the out come of getting 2 heads, 1 tail. (4)) Based on your observations, give the empirical probability of each result.

Make a comparison between using one Theodolite for layout different horizontal curves types and using Two...

Make a comparison between using one Theodolite for layout different horizontal curves types and using Two Theodolite method, taking in consideration possible obstacles and the specialty between horizontal curves types

Identify and describe two types of non-probability sampling methods and two types of probability sampling methods

Define the characteristics of a probability measure, and explain the difference between a theoretical probability distribution and an empirical probability distribution (a priori vs. a posteriori).

Define the characteristics of a probability measure, and explain the difference between a theoretical probability distribution and an empirical probability distribution (a priori vs. a posteriori). (1 point) Describe the characteristics of a normal distribution. (1 point) Explain the importance of the central limit theorem. (1 point)

Distinguish between probability and non-probability sampling, discuss their types with examples.

Provide a description of the difference between empirical and theoretical probability, in your own words. Additionally...

Provide a description of the difference between empirical and theoretical probability, in your own words. Additionally provide an example of a situation that you would use empirical probability and a situation where you would use theoretical probability.

Explain two theoretical explanations as to why we need security and Identify the two main types...

Explain two theoretical explanations as to why we need security and Identify the two main types of security and explain why they are important.

1a. what is the difference between experimemtal, theoretical, and subjective proabailites b. how can probability theory...

1a. what is the difference between experimemtal, theoretical, and subjective proabailites b. how can probability theory be used in reali life please answer part a & b in 3-4 sentences for a thumbs up thank you

When it come to displacement sensors, we have many types of electrodes. Make a comparison between...

When it come to displacement sensors, we have many types of electrodes. Make a comparison between them with respect to the size, usability, risks, and accuracy

Question