Two group of students (students who have a car versus don't have a car) are given a survey on employment status, the results are summarized below Full-time Part-time Unemployed Total Owns car 20 17 14 51 Does not own a car 11 10 3 24 Total 31 27 17 75 If one student is chosen at random, find the probability that the student does not own a car OR works part-time. (Leave answer as a fraction or round to four decimal places.) Is it correct answer 41/75?
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.
Two group of students (students who have a car versus don't have a car) are given a survey on employment status, the results are summarized below
| Full-time | Part-time | Unemployed | Total | |
| Owns car | 20 | 17 | 14 | 51 |
| Does not own a car | 11 | 10 | 3 | 24 |
| Total | 31 | 27 | 17 | 75 |
If one student is chosen at random,
find the probability that the student does not own a car OR works part-time. (Leave answer as a fraction or round to four decimal places.)
Is it correct answer 41/75?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
