Consider the following statement: \"if any of my two friends picks me up in time
ID: 2989533 • Letter: C
Question
Consider the following statement: "if any of my two friends picks me up in time and the movie is not sold out or my friend who picks me up has already bought tickets then I will see the movie tonight". Suppose the events that your two friends pick you up on time are represented by logic variables A and B, respectively, for the two friends; their having bought tickets in advance are represented by logic variables T1 and T2, respectively; the movie being sold out is represented by the logic variable S, then write down all combinations of logic variables (like X=1 and Y=0) one at a time, which when true will allow you to see the movie.
Explanation / Answer
Let R be the result when 1 = you will be able to go to movies
A friend1
picks on time = 1
doesnt pick on time = 0
B friend2
picks on time = 1
doesnt pick on time = 0
T1 friend 1
brings ticket = 1
forgets =0
T2 friend 2
brings ticket = 1
forgets =0
S = 0 not sold out
S = 1 sold out
A B T1 T2 S R
0 0 0 0 0 0
0 0 0 0 1 0
0 0 0 1 0 0
0 0 0 1 1 0
0 0 1 0 0 0
0 0 1 0 1 0
0 0 1 1 0 0
0 0 1 1 1 0
0 1 0 0 0 1
0 1 0 0 1 0
0 1 0 1 0 1
0 1 0 1 1 1
0 1 1 0 0 1
0 1 1 0 1 0
0 1 1 1 0 1
0 1 1 1 1 1
1 0 0 0 0 1
1 0 0 0 1 0
1 0 0 1 0 1
1 0 0 1 1 0
1 0 1 0 0 1
1 0 1 0 1 1
1 0 1 1 0 1
1 0 1 1 1 1
1 1 0 0 0 1
1 1 0 0 1 0
1 1 0 1 0 1
1 1 0 1 1 1
1 1 1 0 0 1
1 1 1 0 1 1
1 1 1 1 0 1
1 1 1 1 1 1