16A. A math teacher has a bag of marbles. The color and number of marbles are shown in the table below. Color Number Blue Red 10 20 Yellow Orange Black 15 40 The teacher reaches into the bag and selects one marble at random. Based on the information in the table, which of the following statements is true? O A. The marble is twice as likely to be red as blue. O B. The marble is twice as likely to be red as black. O C. The marble is more likely to be yellow than red. O D. The marble is less likely to be black than orange.
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.
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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.
![16A. A math teacher has a bag of marbles. The color and number of marbles are shown in the table below.
Color
Number
Blue
10
Red
20
Yellow
Orange
Black
15
40
The teacher reaches into the bag and selects one marble at random. Based on the information in the table, which of
the following statements is true?
O A. The marble is twice as likely to be red as blue.
O B. The marble is twice as likely to be red as black.
O C. The marble is more likely to be yellow than
O D. The marble is less likely to be black than orange.
1.
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