A survey of recent college graduates yielded the following information: 70 graduates earned adegree in mathematics, 115 earned a degree in education, 23 earned degree in bothmathematics and education, and 358 earned a degree in neither mathematics nor education. Draw a Venn diagram to illustrate the results of this survey. If one graduate is randomly selected from this group, find the probability that: (Venn DIagram) a) The selected graduate has earned a degree only in education. b) The selected graduate has earned a degree in education. c) The selected graduate has earned degrees in both mathematics and education.
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.
A survey of recent college graduates yielded the following information: 70 graduates earned adegree in mathematics, 115 earned a degree in education, 23 earned degree in bothmathematics and education, and 358 earned a degree in neither mathematics nor education.
Draw a Venn diagram to illustrate the results of this survey.
If one graduate is randomly selected from this group, find the
a) The selected graduate has earned a degree only in education.
b) The selected graduate has earned a degree in education.
c) The selected graduate has earned degrees in both mathematics and education.
d) The selected graduate has graduated with a degree in mathematics or education.
e) The selected graduate has a degree in exactly one subject.
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