Let A = false and B = false.

Let X = A or (not B).

Let Y = not(A and B).

True or False?

You are told that a prize is behind one of 3 doors and you are asked to pick a door. After you make your selection, one of the doors you did not pick is opened and you are shown that the prize is not behind that door. At this point, your odds of picking the winning door are better if you switch your pick to the other door that is still closed.

Find the transitive closure over the set {a, b, c, d} for the relation {(a,a), (a,b), (b,c)}

Consider the following conditional (if-then) statement:

If it is raining then there are clouds in the sky.

Suppose I tell you that this is a true statement.

Based on your knowledge of the conditional operator, if it is cloudy, is it raining?

If you roll a die 3 times, approximately how many distinct outcomes are possible?

Given the following language, L, and alphabet, M:

Which of the following strings is not in LM*L?

Is the following statement true or false?

A or B is equal to not(A) and not(B)

Is the following statement true or false? To receive full credit, you must use exhausting checking to justify your answer.

There is prime number between 20 and 25.

Let A = {1, 2, 3} and B = {2, 3, 4}.