An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. Assuming that all elements of the sample space S are equally likely to occur.
Event A is the sum of the two recorded numbers that is greater than 8.
Event B is the occurring of 5 on either die.
find ( A ∩ B )
For event A, the sample space is "A=\\{(3,6),(4,5),(4,6),(5,4),(5,5),(5,6),(6,3),(6,4),(6,5),(6,6)\\}"
For event B, the sample space is,
"B=\\{(1,5),(2,5),(3,5),(4,5),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,5)\\}"
Now, "A\\cap B" consist of all elements in both events A and B.
Therefore,
"A\\cap B=\\{(4,5),(5,4),(5,5),(5,6),(6,5)\\}."
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