The data in the following table show the association between cigar smoking and death from cancer for 136,775 men. Note: current cigar smoker means cigar smoker at time of death. | Click the icon to view the table. (a) If an individual is randomly selected from this study, what is the probability that he died from cancer? (b) If an individual is randomly selected from this study, what is the probability that he was a current cigar smoker? (c) If an individual is randomly selected from this study, what is the probability that he died from cancer and was a current cigar smoker? (d) If an individual is randomly selected from this study, what is the probability that he died from cancer or was a current cigar smoker? (a) P(died from cancer) =O (Round to three decimal places as needed.) Data Table (b) P(current cigar smoker) =D (Round to three decimal places as needed.) Died from Did Not Die (c) P(died from cancer and current cigar smoker) =D (Round to three decimal places as needed.) %3D from Cancer D 119,579 7,744 8,441 Cancer Never smoked cigars Former cigar smoker Current cigar smoker 796 79 (d) P(died from cancer or current cigar smoker) = (Round to three decimal places as needed.) 136 Print Done
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.
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