Math
posted by mark .
In an experiment, a pair of dice is rolled and the total number of points observed.
(a) List the elements of the sample space
(b) If A = { 2, 3, 4, 7, 8, 9, 10} and B = {4, 5, 6, 7, 8} list the outcomes which comprise each of the following events and also express the events in words: A¢, A È B, and A Ç B.
(c) Use Venn diagrams to show the different events
The sample space would consist of the following
(1,1),(1,2)...(1,6)
(2,1),(2,2)...)2,6)
..
..
(6,1).........(6,6) there are 36 of these
for your b) I don't know what you mean with your symbols. I assume you probably want the intersection and union of these sets.
A∩B would be the "intersection" of the two sets, that is, all those elements that are found in both the first set AND the second set. I see that would be {4,7,8}
AUB, A "union" B, is the set of elements that are found in either A OR B.
That would be {2,3,4,5,6,7,8,9}
To draw the Venn diagram, draw two overlapping circles.
Place the numbers 4,7, and 8 in the overlapping part, the "intersection".
Place the remaining numbers in their corresponding regions of the circles.
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