A pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 4}
B: {The sum of the numbers on the dice is 11}
Identify the sample points in the event $A \cup B .$
A) $\{ ( 1,3 ) , ( 2,2 ) , ( 3,1 ) , ( 5,6 ) , ( 6,5 ) \}$
B) $\{ ( 1,4 ) , ( 2,3 ) , ( 3,2 ) , ( 4,1 ) , ( 5,6 ) , ( 6,5 ) \}$
C) $\{ ( 1,4 ) , ( 2,2 ) , ( 4,1 ) , ( 5,6 ) , ( 6,5 ) \}$
D) There are no sample points in the event $A \cup B .$

Question

A pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 4}
B: {The sum of the numbers on the dice is 11} 
Identify the sample points in the event $A \cup B .$
A) $\{ ( 1,3 ) , ( 2,2 ) , ( 3,1 ) , ( 5,6 ) , ( 6,5 ) \}$
B) $\{ ( 1,4 ) , ( 2,3 ) , ( 3,2 ) , ( 4,1 ) , ( 5,6 ) , ( 6,5 ) \}$
C) $\{ ( 1,4 ) , ( 2,2 ) , ( 4,1 ) , ( 5,6 ) , ( 6,5 ) \}$
D) There are no sample points in the event $A \cup B .$

Quizplus · Accepted Answer

The event $A \cup B$ includes all sample points where the sum of the dice is either 4 or 11. For a sum of 4, the possibilities are (1,3), (2,2), and (3,1). For a sum of 11, the possibilities are (5,6) and (6,5). Therefore, option A correctly lists all these sample points.

A Pair of Fair Dice Is Tossed A∪B.A \cup B .A∪B.

A Pair of Fair Dice Is Tossed $A \cup B .$