The following table shows some data from a study on substance use among 10th graders in the United States and Europe. Smoked Cigarettes Cigarette-Free Totals U.S. y 14,000 Europe 96,000 Total 71,210 110,000
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.
![**Problem Statement:**
Given that 35,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data.
**Equation to Solve:**
\((x, y, z, w) = (\text{[input box]})\)
Please enter the calculated value in the input box to solve the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a6f9288-2677-4ddf-af72-adbbbc1c2c02%2Fdfb37e6d-96b4-45fb-8d88-a6868bef5326%2Fgxru13a_processed.png&w=3840&q=75)
![The following table shows some data from a study on substance use among 10th graders in the United States and Europe.
| | Smoked Cigarettes | Cigarette-Free | Totals |
|----------------|------------------|----------------|---------|
| **U.S.** | x | y | 14,000 |
| **Europe** | z | w | 96,000 |
| **Total** | 71,210 | 110,000 | |
- The table is divided into two main categories: "Smoked Cigarettes" and "Cigarette-Free."
- It includes data for 10th graders from the U.S. and Europe.
- The total number of U.S. students surveyed is 14,000.
- The total number of European students surveyed is 96,000.
- Overall, 71,210 students have smoked cigarettes out of a total of 110,000 surveyed.
Note: The values x, y, z, and w are placeholders for specific numbers not provided in the table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a6f9288-2677-4ddf-af72-adbbbc1c2c02%2Fdfb37e6d-96b4-45fb-8d88-a6868bef5326%2Fle6863p_processed.png&w=3840&q=75)
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