Suppose there is a 51% chance of rain for each of the next four days.  The probability that it rains every day for the next four days is .514. Express this as a decimal and **round your answer to four decimal places**.
 

To calculate the probability that it rains every day for the next four days, given that the chance of rain each day is 51% (or 0.51), we need to multiply the probability of rain on each day together:

\[
P(\text{rain all 4 days}) = 0.51 \times 0.51 \times 0.51 \times 0.51 = (0.51)^4
\]

Let's calculate this and round it to four decimal places.The probability that it rains every day for the next four days, given a 51% chance of rain each day, is approximately \(0.0677\) when rounded to four decimal places.

Do you have any questions or would you like more details?

Here are some related questions:
1. What is the probability that it rains on exactly three out of the next four days?
2. How would the probability change if the chance of rain each day was 60%?
3. What is the probability that it does not rain on any of the next four days?
4. If the probability of rain changes each day, how do you calculate the overall probability?
5. How would the calculation change if the days were not independent?

**Tip:** When rounding probabilities, ensure that all decimal places are considered before rounding to avoid small errors in calculations.

Learn how to calculate the probability that it rains every day for the next four days with a 51% chance of rain each day. This problem involves applying the multiplication rule of probability to find the overall probability of events occurring independently over multiple trials.

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