If 900 people were surveyed, how many people have both a Cat and a Bird ? Round to the nearest whole number. Cat is 31% bird is 34%


To solve this problem, we can use the principle of inclusion-exclusion. Let's break it down step by step:

1. **Total number of people surveyed**: 900
2. **Percentage of people with a cat**: 31% 
   \[
   0.31 \times 900 = 279 \text{ people with a cat}
   \]
3. **Percentage of people with a bird**: 34%
   \[
   0.34 \times 900 = 306 \text{ people with a bird}
   \]

4. **Estimating the percentage of people who have both a cat and a bird**: 
   Assuming that the ownership of a cat and a bird are independent events, the percentage of people who have both pets is:
   \[
   0.31 \times 0.34 = 0.1054 \text{ or 10.54%}
   \]
   
5. **Calculating the number of people who have both pets**:
   \[
   0.1054 \times 900 = 94.86
   \]

   Rounding to the nearest whole number gives us **95 people**.

So, approximately **95 people** have both a cat and a bird.

Would you like more details or have any questions about this? Here are some related questions:

1. How would the calculation change if the cat and bird ownership were not independent?
2. What is the probability that a person chosen at random has neither a cat nor a bird?
3. If 40% of the people with cats also have birds, how many people is that?
4. How many people have either a cat or a bird, but not both?
5. How would you calculate the expected overlap if the percentages were different?

**Tip**: Always check if events are independent before multiplying their probabilities.

If 900 people were surveyed, how many people have both a Cat and a Bird? Round to the nearest whole number. Cat is 31% bird is 34%

Find out how to calculate the number of people owning both a cat and a bird from a survey of 900 people. Using percentages, the inclusion-exclusion principle, and probability, this problem is ideal for students in Grades 8-10.

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