QUESTION # 1There are seven balls in a urn. They are identical except for color. One is red, two are blue, and four are green. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color. a). Can the events of picking two balls be independent? Explain. b). What is the probability of picking two blue balls? c). What is the probability of picking a green ball on a second pick given the first pick was a red?
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.
QUESTION # 1There are seven balls in a urn. They are identical except for color. One is red, two are blue, and four are green. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color.
a). Can the
b). What is the
c). What is the probability of picking a green ball on a second pick given the first pick was a red?
d). What is the probability of picking two red balls?
e). What is the probability of picking a red, followed by a green ball?
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