A bag consists of 4 marbles. There is 1 red marble, 1 orange marble, 1 green marble, and 1 blue marble. Which table shows the sample space for choosing 2 marbles from the bag with replacement?A. Red Orange Green BlueRed Red Red Red RedOrange Orange Orange Orange OrangeGreen Green Green Green GreenBlue Blue Blue Blue Blue B. Red Orange Green BlueRed Red, Red Red, Orange Red, Green Red, BlueRed Red, Red Red, Orange Red, Green Red, BlueC. Red Orange Green BlueRed Red, Red Orange, Red Green, Red Blue, RedOrange Red, Orange Orange, Orange Green, Orange Blue, OrangeGreen Red, Green Orange, Green Green, Green Blue, GreenBlue Red, Blue Orange, Blue Green, Blue Blue, BlueD. Red Orange Green BlueRed Red Orange, Red Green, Red Blue, RedOrange Red, Orange Orange Green, Orange Blue, OrangeGreen Red, Green Orange, Green Green Blue, GreenBlue Red, Blue Orange, Blue Green, Blue Blue
Question
A bag consists of 4 marbles. There is 1 red marble, 1 orange marble, 1 green marble, and 1 blue marble. Which table shows the sample space for choosing 2 marbles from the bag with replacement?A. Red Orange Green BlueRed Red Red Red RedOrange Orange Orange Orange OrangeGreen Green Green Green GreenBlue Blue Blue Blue Blue B. Red Orange Green BlueRed Red, Red Red, Orange Red, Green Red, BlueRed Red, Red Red, Orange Red, Green Red, BlueC. Red Orange Green BlueRed Red, Red Orange, Red Green, Red Blue, RedOrange Red, Orange Orange, Orange Green, Orange Blue, OrangeGreen Red, Green Orange, Green Green, Green Blue, GreenBlue Red, Blue Orange, Blue Green, Blue Blue, BlueD. Red Orange Green BlueRed Red Orange, Red Green, Red Blue, RedOrange Red, Orange Orange Green, Orange Blue, OrangeGreen Red, Green Orange, Green Green Blue, GreenBlue Red, Blue Orange, Blue Green, Blue Blue
Solution
The correct answer is C.
This table shows all possible outcomes when choosing 2 marbles from the bag with replacement. Since we are replacing the marbles, it's possible to pick the same color twice. The table includes all combinations of two marbles, including the same color twice (for example, Red, Red or Blue, Blue) and each combination of two different colors (for example, Red, Orange or Green, Blue).
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