Tree Diagram: Suppose there are six balls in an urn. They are identical except for color. Four of the balls are red and two are blue. You are instructed to draw out one ball, note its color, and set it aside. Then you are to draw out another ball and note its color. Draw a tree diagram and answer the following questions: What are the outcomes of the experiment? What is the probability of each outcome?
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.
- Tree Diagram: Suppose there are six balls in an urn. They are identical except for color. Four of the balls are red and two are blue. You are instructed to draw out one ball, note its color, and set it aside. Then you are to draw out another ball and note its color. Draw a tree diagram and answer the following questions: What are the outcomes of the experiment? What is the
probability of each outcome?
- Use the definition to compute the following values manually:
- 0! =
- 3! =
- P5,3=
- C5,2=
Hi, we are supposed to answer one question at a time. Since you have not mentioned which question to answer, I am answering the first question. Please repost the remaining question that you would like to be answered.
Given Information:
Number of Red balls = 4
Number of Blue balls = 2
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