The probability that the selected element is a member of A n B is 2/9
How to complete the number line?
The elements of the set are given as:
E = {1,2,3,4,5,6,7,8,9}
A = {1,3,4,8,9}
B = {2,4,9}
Using the above parameters, we have:
A only = {1, 3, 8}
B only = {2}
A and B = {4, 9}
None = {5,6,7}
The above dataset is the represented using the attached Venn diagram
How to determine the probability?
In (a), we have:
A and B = {4, 9}
E = {1,2,3,4,5,6,7,8,9}
The probability is then calculated as:
P(A n B) = n(A n B)/n(E)
This gives
P(A n B) = 2/9
Hence, the probability is 2/9
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