1. Experience shows that 27% of all complaints about telephone lines involve static on the line. 45% involve line deterioration. 36% involve only line deterioration. What is the probability that a randomly selected complaint will involve at least one of these kinds of problems? Neither problem? 4-5 2. Given that P(ANB) = 0.8 and P[A] = 0.6 and P[B] = 0.4, determine whether events A and B are independent. %3D %3D 3. Given that P(ANB) = 0.6 and P[A|B] = 0.8, determine P[B] = ? %3D %3D 4. Forty percent of a credit card company's customers are men and 60% of male customers have credit issues. If 55% of female customers have credit issues, what is the probability that a randomly selected customer has credit iolissues? 20 remae %3D 60. 100" T00 12x33 FOMales wih crelit 20 "20 12 x-0 57 100 T0O One indicator of copper is a small mint. Suppose that there is a 35% chance that the soil has a high copper content and a 25% chance that the mint will be present there. If the copper content is high, there is a 65% chance that the mint will be present. What is the probability that the copper content will be high and the mint will be present? Given that the mint is present, what is the probability that the copper content is high? 5. 35 10

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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.