The table lists the smoking habits of a group of college students.
Start 4 By 5 Table 1st Row 1st Column Sex 2nd Column Non dash smoker 3rd Column Regular Smoker 4st Column Heavy Smoker 5st Column Total 2nd Row 1st Column Man 2nd Column 135 3rd Column 50 4st Column 5 5st Column 190 3rd Row 1st Column Woman 2nd Column 187 3rd Column 21 4st Column 13 5st Column 221 4st Row 1st Column Total 2nd Column 322 3rd Column 71 4st Column 18 5st Column 411 EndTable 
 
If a student is chosen at​ random, find the probability of getting someone who is a man or a woman. Round your answer to three decimal places.

To find the probability of getting someone who is a man or a woman from the group, we first recognize that this event is certain to happen, as every student is either a man or a woman. Here's how you can approach it:

1. **Total number of students**: According to the table, the total number of students is 411.

2. **Total number of men and women**:
   - Total number of men = 190
   - Total number of women = 221

3. **Probability calculation**:
   - The probability of selecting a man or a woman is the total number of students who are either men or women divided by the total number of students.
   - Since all students are either men or women, the probability is:
   
   \[
   P(\text{Man or Woman}) = \frac{\text{Total number of men and women}}{\text{Total number of students}} = \frac{190 + 221}{411} = \frac{411}{411} = 1.000
   \]

Thus, the probability of selecting someone who is a man or a woman is **1.000** (or 100%).

This result means it's a certainty that if you pick a student at random, they will either be a man or a woman.

Do you want any further details or have any questions?

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**Here are some related questions:**

1. What is the probability of selecting a man?
2. What is the probability of selecting a woman?
3. What is the probability of selecting a regular smoker?
4. What is the probability of selecting a heavy smoker?
5. What is the probability of selecting a non-smoker?
6. What is the probability of selecting a woman who is a heavy smoker?
7. What is the probability of selecting a man who is a non-smoker?
8. What is the conditional probability of being a regular smoker given that the person is a woman?

**Tip:** When calculating probabilities, always ensure that the total number of outcomes (denominator) reflects the appropriate sample space for the event in question.

Calculate the probability of randomly selecting either a man or a woman from a group of college students based on smoking habits data. Learn how to determine probabilities in statistical contexts. Suitable for Grades 9-12.

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