At a gathering of 190 college students their grade-group and major were recorded as follows Major Grade-Group Biology Nursing Math Accounting Total A-student 20 10 10 10 50 B-student 30 30 10 20 90 C-student 20 10 10 10 50 Total 70 50 30 40 190 If a student is selected at random from this group, find the probability that the student is: Question Answer Points A Biology major A Biology major or an A-student. A Nursing major and a B-student. A Nursing major or a Biology major. A math major and a Biology major An Accounting major given that they are an A-student A B-student given that they are a Math major.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
3) At a gathering of 190 college students their grade-group and major were recorded
as follows
|
|
Major |
||||
|
Grade-Group |
Biology |
Nursing |
Math |
Accounting |
Total |
|
A-student |
20 |
10 |
10 |
10 |
50 |
|
B-student |
30 |
30 |
10 |
20 |
90 |
|
C-student |
20 |
10 |
10 |
10 |
50 |
|
Total |
70 |
50 |
30 |
40 |
190 |
If a student is selected at random from this group, find the probability that the student is:
|
Question |
Answer |
Points |
|
A Biology major |
|
|
|
A Biology major or an A-student. |
|
|
|
A Nursing major and a B-student. |
|
|
|
A Nursing major or a Biology major. |
|
|
|
A math major and a Biology major |
|
|
|
An Accounting major given that they are an A-student |
|
|
|
A B-student given that they are a Math major. |
|
|
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