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Basod on the results from this poll, what is the probability that two Britons aged 18+, both sleep F) on average for & hours or more each night?

To calculate the probability that two Britons aged 18+ both sleep for 8 hours or more each night based on the poll results in the image, we need to follow these steps:

1. **Determine the probability of one person sleeping 8 hours or more.**
2. **Use the probability to calculate the combined probability for two people.**

### Step 1: Determine the probability for one person

From the image:
- The relevant bar for "8 hours or more" is 6% for the left chart ("How much sleep do Britons typically get each night?").

Thus, the probability that one Briton aged 18+ sleeps for 8 hours or more is **6%** or **0.06**.

### Step 2: Calculate the combined probability for two people

The probability that two independent events both occur is the product of their individual probabilities. Therefore, the probability that both Britons sleep for 8 hours or more is:

\[
P(\text{both}) = P(\text{Person 1}) \times P(\text{Person 2}) = 0.06 \times 0.06 = 0.0036
\]

So, the probability that two Britons aged 18+ both sleep for 8 hours or more each night is **0.36%**.

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Do you have any further questions, or would you like more details on how this calculation was made?

### Related Questions:
1. What is the probability that one Briton sleeps 6-7 hours and the other sleeps for 8 hours or more?
2. How would the probability change if we consider a sample of 3 Britons instead of 2?
3. What is the most common sleep duration for Britons based on the poll?
4. How does the probability of sleeping for 8 hours or more compare to sleeping for less than 5 hours?
5. What are the implications of these probabilities for sleep-related health studies in the UK?

### Tip:
Always remember that when dealing with independent events, you multiply their probabilities to find the combined likelihood of both occurring.

Based on the results from this poll, what is the probability that two Britons aged 18+, both sleep on average for 8 hours or more each night?

Find out the probability that two Britons aged 18+ both sleep for 8 hours or more each night using basic probability rules. This example covers the concept of independent events and applies the multiplication rule for probabilities. Ideal for students in Grades 9-11.

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