Test exact independence
A finite sample space S contains 15 catalogue labels. One outcome is selected uniformly, so all individual outcomes are equally likely
Use the notation \(\Pr(A)\), \(\Pr(B)\) and \(\Pr(A\cap B)\)
Event A is the condition that the outcome has a marked corner; event B is the condition that the outcome is on the round shelf
The finite sample space is listed below. The events are subsets of S
\[S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15\}\]
\[A = \{1, 2, 3, 4, 5, 6\}\]
\[B = \{1, 2, 3, 7, 8\}\]
Compare the required exact values and classify the events A and B