Question

A bag contains 15 colored marbles numbered 1 through 15. Each marble is red (R), green (G), or blue (B), as listed in the sample space S.



S equals StartSet R 1 comma R 2 comma R 3 comma R 4 comma R 5 comma G 6 comma G 7 comma G 8 comma G 9 comma G 10 comma B 11 comma B 12 comma B 13 comma B 14 comma B 15 EndSet

Question
Choose ,begin emphasis,all,end emphasis, of the statements that describe the event E equals StartSet G 6 comma G 8 comma G 10 comma B 12 comma B 14 EndSet.

Answer options with 6 options
A.
The event that a marble is not red or has an even number.

B.
The event that a marble is green or blue or has an even number.

C.
The event that a marble is green or blue and has an even number.

D.
The event that a marble is not red and does not have an odd number.

E.
The event that a marble has an even number or a number greater than 5.

F.
The event that a marble does not have an odd number and a number greater than 5.

Answer 1

C, D, and F.

Brief justification:
- C: "(green or blue) and even" = {G6, G8, G10, B12, B14} = E.
- D: "not red and not odd" = (green or blue) AND even = same as C = E.
- F: "not odd and >5" = even numbers greater than 5 = {6,8,10,12,14} (colors are G,G,G,B,B) = E.

A and B (not red or even / green or blue or even) and E (even or >5) include extra marbles (e.g. B11, B13, R2, R4), so they are not equal to E.