Question

a bag of marbles contains 4 red marbles and 4 green marbles. each red marble was labeled with a different number, 1 through 4, and each green marble was labeled with a different number, 1 through 4.
which set represents the event, a, that karen took a marble that was either green or had an even number?
a. $a = \\{g2, g4\\}$
b. $a = \\{g1,g3,r2,r4\\}$
c. $a = \\{g2, g4, r2, r4\\}$
d. $a = \\{g1, g2, g3, g4, r2, r4\\}$

Explanation:

Step1: List all green marbles

Green marbles: $\{G1, G2, G3, G4\}$

Step2: List red marbles with even numbers

Even-numbered red marbles: $\{R2, R4\}$

Step3: Combine the two sets

Event $A$ (green OR even-numbered) = $\{G1, G2, G3, G4, R2, R4\}$

Answer:

D. $A = \{G1, G2, G3, G4, R2, R4\}$