Question

In the game Roulette, a ball spins on a circular wheel that is divided into 38 arcs of equal lenght, numbered 00, 0, 1, 2, ... , 35, 36. The number on the arc on which the ball stops is the outcome of one play of the game. The numbers are also colored as follows: 1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 are red, 2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35 are black, 0, 00 are green Define the following events: ?:{{Outcome is an even number (0 and 00 are considered neither odd nor even) ?:{Outcome is a red number } ?:{ Outcome is a green number D: {Outcome is a low number (1-18)}

Question: What is (A U B U D)?

Answer 1

A : {outcome is an even number} : {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36}

B : {Outcome is a red number } : {1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 }

C : { Outcome is a green number} : {0,00}

D: {Outcome is a low number (1-18)} : {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18}

What is (A U B U D) = (All the number in three sets with no duplicates)

{2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36} -A and

{1,3,5,7,9,19,21,23,25,27}- Removing the even numbers(A) from Red (B)

{11,13,15,17} - These are in 1-18 (D); but not even (A) and not red (B)

(A U B U D) - {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,32,34,36}