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Determine that in a Boolean algebra, for any a and b, (a Λ b) V (a Λ b' ) = a.
Ans: This can be proved either by using the distributive property of join over meet (or of meet over join) or utilizing a truth table for the expression. Let us make use of the truth table.
From the truth table, it is obvious which entries for the expression and that for 'a' are similar and therefore the result.
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Find out the domain of each of the following. (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know
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A die is thrown repeatedly until a six comes up. What is the sample space for this experiment? HINT ;A= {6} B={1,2,3,4,5,} Ans: The sample space is = {A, BA, BBA, BBBA, BBBBA.
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