The data in the following table show the association between cigar smoking and death from cancer for 135,265 men. Note: current cigar smoker means cigar smoker at time of death. LOADING... 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)=nothing (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 3 parts remaining Clear All Check Answer Data Table Died from Cancer Did Not Die from Cancer Never smoked cigars 967 117,414 Former cigar smoker 86 8,945 Current cigar smoker 122 7,731
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.
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(a)
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If an individual is randomly selected from this study, what is the
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(b)
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If an individual is randomly selected from this study, what is the probability that he was a current cigar smoker?
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(c)
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If an individual is randomly selected from this study, what is the probability that he died from cancer and was a current cigar smoker?
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(d)
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If an individual is randomly selected from this study, what is the probability that he died from cancer or was a current cigar smoker?
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Clear All
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Check Answer
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Died from Cancer
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Did Not Die
from Cancer
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Never smoked cigars
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967
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117,414
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Former cigar smoker
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86
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8,945
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Current cigar smoker
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122
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7,731
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