Respuesta :
The number of days that had either rain or high winds for the considered case is 77
What is the addition rule of size for two subsets?
For two subsets A and B of the universal set U, we have:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
Assume that:
A and B be the subsets of what happens on each day.
Then in the days of last several weeks , we take:
- A = set of days which had rain
- B = set of days which had high winds,
then, as per the data given, we get:
- n(A) = number of days seeing rain = 67
- n(B) = number of days seeing high winds = 23
- n(A ∩B) = number of days seeing both rain and high winds = 13
Thus, we get:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)\\n(A \cup B) = 67 + 23 - 13 = 77[/tex]
Thus, n(A ∪B) = number of days seeing either rain or high winds = 77
Thus, the number of days that had either rain or high winds for the considered case is 77
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