SOLUTION: Suppose the chance of rain for each of the next three days is 50%, You are planning an outdoor activity and want to estimate the chance that it will not rain at least one of the da

Question 1039820: Suppose the chance of rain for each of the next three days is 50%, You are planning an outdoor activity and want to estimate the chance that it will not rain at least one of the days. A coin was used to similate the weather each day. There was obtained 20 sets of three days (R for rain) means that there was a rain in the given day and (s for sunny means that there wasn't rain. Row one had 9 R and 11 S, row two has 11 R and 9 S, and row three has 11 R and 9 S. What is the experimental probability that it will not rain at least one of the three days?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you have 3 sets of data of 20 sample points each.
each set represents 1 of the 3 days.

the data tells you the following:



day           sunny         rain       total         p(rain)
1               11            9          20            9/20
2               9             11         20            11/20
3               9             11         20            11/20

the experimental probability that it will rain on all 3 days is 9/20 * 11/20 * 11/20 = .136125

the experimental probability that it will not rain on at least 1 of those days = 1 minus the probability that it will rain on all 3 of those days which is equal to 1 - .136125 = .863875.

my interpretation of this problem is that each day had 20 coin flips to determine the probability that it would be sunny on that day or rainy on that day.

the results were based on that interpretation.

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