The following table shows the results of a recent health survey of 400 patients from hospitals of Muscat region in which they were asked whether there had been any known history of the disease in their family. Diease Heart Cancer Diabetes Family history 88 44 38 No family history 92 76 62 If a patient is selected at random from Muscat region hospital, what is the probability that: He has cancer. He had a family history of their particular disease. He has cancer and no family history of cancer.
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.
The following table shows the results of a recent health survey of 400 patients from hospitals of Muscat region in which they were asked whether there had been any known history of the disease in their family.
Diease
Heart Cancer Diabetes
Family history 88 44 38
No family history 92 76 62
If a patient is selected at random from Muscat region hospital, what is the probability that:
- He has cancer.
- He had a family history of their particular disease.
- He has cancer and no family history of cancer.
- He has diabetes given that he has a family history.
- He has no family history given that he has heart disease.
- Show that family history and cancer are not independent.
Step by step
Solved in 4 steps with 6 images
