A bag consists of 5 marbles. There is 1 yellow, 1 red marble, 1 clear marble, 1 green marble, and 1 blue marble. Which table shows the sample space for choosing 2 marbles from the bag with replacement?

Question

Yellow Red Clear Green Blue
Yellow Yellow Yellow Yellow Yellow Yellow
Red Red Red Red Red Red
Clear Clear Clear Clear Clear Clear
Green Green Green Green Green Green
Blue Blue Blue Blue Blue Blue
Yellow Red Clear Green Blue
Red Red, Yellow Red, Red Red, Clear Red, Green Red, Blue
Red Red, Yellow Red, Red Red, Clear Red, Green Red, Blue
Red Red, Yellow Red, Red Red, Clear Red, Green Red, Blue
Yellow Red Clear Green Blue
Yellow Yellow Red, Yellow Clear, Yellow Green, Yellow Blue, Yellow
Red Yellow, Red Red Clear, Red Green, Red Blue, Red
Clear Clear Red, Clear Clear Green, Clear Blue, Clear
Green Green, Yellow Red, Green Clear, Green Green Blue, Green
Blue Blue, Yellow Red, Blue Clear, Blue Green, Blue Blue
Yellow Red Clear Green Blue
Yellow Yellow, Yellow Red, Yellow Clear, Yellow Green, Yellow Blue, Yellow
Red Yellow, Red Red, Red Clear, Red Green, Red Blue, Red
Clear Yellow, Clear Red, Clear Clear, Clear Green, Clear Blue, Clear
Green Yellow, Green Red, Green Clear, Green Green, Green Blue, Green
Blue Yellow, Blue Red, Blue Clear, Blue Green, Blue Blue, Blue

Answer 1

To find the sample space for choosing 2 marbles from the bag with replacement, we'll consider that since it's with replacement, each choice is independent, and each marble can be picked again after being selected.

The marbles are:

• Yellow (Y)
• Red (R)
• Clear (C)
• Green (G)
• Blue (B)

When we draw two marbles with replacement, the sample space will consist of all possible ordered pairs of these marbles. This means for each first marble that we draw, we can draw any of the five marbles again for the second pick.

The possible combinations would look like this:

1. (Y, Y)

2. (Y, R)

3. (Y, C)

4. (Y, G)

5. (Y, B)

6. (R, Y)

7. (R, R)

8. (R, C)

9. (R, G)

10. (R, B)

11. (C, Y)

12. (C, R)

13. (C, C)

14. (C, G)

15. (C, B)

16. (G, Y)

17. (G, R)

18. (G, C)

19. (G, G)

20. (G, B)

21. (B, Y)

22. (B, R)

23. (B, C)

24. (B, G)

25. (B, B)

So, the total sample space consists of 25 outcomes.

Looking at your options, none appear to match the correct format of showing the sample space. The correct way of organizing it would generally be tabular like:

| | Y | R | C | G | B | |---|---------|---------|---------|---------|---------| | Y | Y,Y | Y,R | Y,C | Y,G | Y,B | | R | R,Y | R,R | R,C | R,G | R,B | | C | C,Y | C,R | C,C | C,G | C,B | | G | G,Y | G,R | G,C | G,G | G,B | | B | B,Y | B,R | B,C | B,G | B,B |

If you can provide the tables again so I can specifically identify the correct one based on the format above, I'd be happy to help further!