A First Course in Probability (10th Edition)
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ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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![**Express the following probability as a simplified fraction and as a decimal.**
If one person is selected from the population described in the table, find the probability that the person is male or is widowed.
**Marital Status of a Certain Population, Ages 18 or Older, in Millions:**
| | Married | Never Married | Divorced | Widowed | Total |
|------------|---------|---------------|----------|---------|-------|
| **Male** | 61 | 44 | 14 | 3 | 122 |
| **Female** | 63 | 31 | 15 | 8 | 117 |
| **Total** | 124 | 75 | 29 | 11 | 239 |
**Express the probability as a simplified fraction.**
The probability that the person is male or is widowed is \(\frac{122 + 11 - 3}{239}\).
**Note:** Subtract 3 once, because "male and widowed" is counted twice.
**Fraction Calculation:**
\[
\frac{122 + 11 - 3}{239} = \frac{130}{239}
\]
**Decimal:**
Approximate \(\frac{130}{239}\) as a decimal.
---
This table displays the marital status distribution of a population aged 18 or older, with categories divided by gender (Male, Female) and further by marital status (Married, Never Married, Divorced, Widowed). The total population sums up to 239 million individuals. To find the probability of selecting a person who is either male or widowed, we consider the relevant totals from each category and use the principle of inclusion-exclusion to avoid double counting.](https://content.bartleby.com/qna-images/question/bb035bd8-242a-4bd8-91c3-9303fe022dfd/583f03cf-6871-4e13-809f-34bd632881f3/x1in3po_processed.jpeg)
Transcribed Image Text:**Express the following probability as a simplified fraction and as a decimal.**
If one person is selected from the population described in the table, find the probability that the person is male or is widowed.
**Marital Status of a Certain Population, Ages 18 or Older, in Millions:**
| | Married | Never Married | Divorced | Widowed | Total |
|------------|---------|---------------|----------|---------|-------|
| **Male** | 61 | 44 | 14 | 3 | 122 |
| **Female** | 63 | 31 | 15 | 8 | 117 |
| **Total** | 124 | 75 | 29 | 11 | 239 |
**Express the probability as a simplified fraction.**
The probability that the person is male or is widowed is \(\frac{122 + 11 - 3}{239}\).
**Note:** Subtract 3 once, because "male and widowed" is counted twice.
**Fraction Calculation:**
\[
\frac{122 + 11 - 3}{239} = \frac{130}{239}
\]
**Decimal:**
Approximate \(\frac{130}{239}\) as a decimal.
---
This table displays the marital status distribution of a population aged 18 or older, with categories divided by gender (Male, Female) and further by marital status (Married, Never Married, Divorced, Widowed). The total population sums up to 239 million individuals. To find the probability of selecting a person who is either male or widowed, we consider the relevant totals from each category and use the principle of inclusion-exclusion to avoid double counting.
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