There are 3 cards in a hat: one is a King, one is a Queen, and one is an Ace.  Two cards are drawn without replacement.  List all the elements that would make up the sample space.

The odds in favor of a horse winning a race are posted as 8:7.  Find the probability that the horse will lose the race.

Ivan,  who is 1.72 m tall, wishes to find the height of a tree.  He walks 22.47 m from the base of the tree along the shadow of the tree until his head is in a position where the tip of his shadow exactly overlaps the end of the tree top’s shadow.  He is now 5.03 m from the end of the shadows.  How tall is the tree?  Round to the nearest hundredth.  

Using De Morgan’s Law, choose the equivalent sentence for the statement below. It is not true that you are a day late and a dollar short.

Given the sets      U = {q, r, s, t, u, v, w, x, y, z}      A = {q, s, u, w, y}      B = {q, s, y, z}      C = {v, w, x, y, z} Determine the elements for the set A

A survey of 215 tourists were taken.  The survey indicated the following: 105 of the tourists planned to visit Disney 115 plan to visit Universal Studios 63 plan to visit Busch Gardens 46 plan to visit Disney and Universal 37 plan to visit Universal and Busch Gardens 29 plan to visit Disney and Busch Gardens 20 plan to visit all three destinations How many tourists plan to visit none of the three destinations?

Mr. Baggin’s high school class of 43 students conducted a survey about movie preferences.  The survey indicated that 23 prefer Star Wars movies, 30 prefer Marvel movies, and 14 prefer both.  How many students do not prefer Marvel movies?

Fill in the appropriate truth values for the statement ~p

Determine the validity of the argument. p

Let p and q represent true statements, and r represent a false statement.  Find the truth value for the statement below. (q