The admissions office of a private university released the following admission data for the preceding academic year: from a pool of 3900 male applicants, 40% were accepted by the university and 40% of those males subsequently enrolled. Additionally, from a pool of 3600 female applicants, 45% were accepted by the university and 40% of those females subsequently enrolled. Make a tree diagram for this situation. What is the probability that: a) a male applicant will be accepted by and subsequently will enroll in the university? b) a student who applies for admission will be accepted by the university? c) a student who applies for admission will be accepted by the university and subsequently will enroll?
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.
1. The admissions office of a private university released the following admission data for the preceding academic year:
from a pool of 3900 male applicants, 40% were accepted by the university and 40% of those males subsequently enrolled.
Additionally, from a pool of 3600 female applicants, 45% were accepted by the university and 40% of those females
subsequently enrolled.
Make a tree diagram for this situation.
What is the probability that:
a) a male applicant will be accepted by and subsequently will enroll in the university?
b) a student who applies for admission will be accepted by the university?
c) a student who applies for admission will be accepted by the university and subsequently will enroll?
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