The same issue of The Chronicle for Higher Education Almanac referenced in the previous exercise also reported the following information for Ph.D. degrees awarded by U.S. colleges in the 2013–2014 academic year: A total of 54,070 Ph.D. degrees were awarded. 12,504 of these degrees were in the life sciences. 9859 of these degrees were in the physical sciences. The remaining degrees were in majors other than life or physical sciences. What is the probability that a randomly selected Ph.D. student who received a degree in 2013–2014 a. received an degree in the life sciences? b. received a degree that was not in a life or a physical science? c. did not receive a degree in the physical sciences?
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.
The same issue of The Chronicle for Higher Education
Almanac referenced in the previous exercise also reported
the following information for Ph.D. degrees awarded by
U.S. colleges in the 2013–2014 academic year:
A total of 54,070 Ph.D. degrees were awarded.
12,504 of these degrees were in the life sciences.
9859 of these degrees were in the physical sciences.
The remaining degrees were in majors other than
life or physical sciences.
What is the probability that a randomly selected Ph.D. student who received a degree in 2013–2014
a. received an degree in the life sciences?
b. received a degree that was not in a life or a physical
science?
c. did not receive a degree in the physical sciences?
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