If 44.87% of people on earth have a smartphone, 25.41% have a tablet, and 9% own both a smartphone and a tablet, what percentage of people on earth own a smartphone or a tablet? 11.40% 61.28% 70.28% 79.28%

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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### Percentage of People Owning Smartphones or Tablets

According to recent data:

- 44.87% of people on earth have a smartphone.
- 25.41% have a tablet.
- 9% own both a smartphone and a tablet.

Given these statistics, the question posed is: What percentage of people on earth own either a smartphone or a tablet?

**Answer Choices**:
1. 11.40%
2. 61.28%
3. 70.28%
4. 79.28%

To calculate this, we use the principle of inclusion and exclusion in set theory to find the total percentage of people who own a smartphone or a tablet.

Using the formula:
\[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]

Where:
- \( P(A) \) is the probability of owning a smartphone = 44.87%
- \( P(B) \) is the probability of owning a tablet = 25.41%
- \( P(A \cap B) \) is the probability of owning both a smartphone and a tablet = 9%

\[
P(A \cup B) = 44.87\% + 25.41\% - 9\% = 61.28\%
\]

Therefore, the percentage of people who own either a smartphone or a tablet is: **61.28%**

Choose the correct option:
1. 11.40%
2. **61.28%**
3. 70.28%
4. 79.28%
Transcribed Image Text:### Percentage of People Owning Smartphones or Tablets According to recent data: - 44.87% of people on earth have a smartphone. - 25.41% have a tablet. - 9% own both a smartphone and a tablet. Given these statistics, the question posed is: What percentage of people on earth own either a smartphone or a tablet? **Answer Choices**: 1. 11.40% 2. 61.28% 3. 70.28% 4. 79.28% To calculate this, we use the principle of inclusion and exclusion in set theory to find the total percentage of people who own a smartphone or a tablet. Using the formula: \[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \] Where: - \( P(A) \) is the probability of owning a smartphone = 44.87% - \( P(B) \) is the probability of owning a tablet = 25.41% - \( P(A \cap B) \) is the probability of owning both a smartphone and a tablet = 9% \[ P(A \cup B) = 44.87\% + 25.41\% - 9\% = 61.28\% \] Therefore, the percentage of people who own either a smartphone or a tablet is: **61.28%** Choose the correct option: 1. 11.40% 2. **61.28%** 3. 70.28% 4. 79.28%
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