A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of
taking 1 marble from the box and then replacing it in the box and drawing a second marble from
the box.
Describe the sample space. Repeat when the second marble is drawn without replacing the first
marble.
Solution
this event consists of drawing of total number of 2 balls from the box since the ball
is replaced after taking, we can take any of the 3balls during the secong attempt and the sample
space will be: [ (red,red) (red,blue) (red,green) (blue,red) (blue,blue)(blue,green) (green,red)
(green,blue) (green,green)] the first color indicates the ball taken during the first attempt, and
2nd color indicated the ball taken after replacing the ball in the box. now if the ball is not
replaced in the box after taking it, only two balls will be left if we take 1 ball, hence only 2
possibilities will be there in the 2nd attempt so, the sample space will be: [ (red,blue) (red,green)
(blue,red) (blue,green) (green,red) (green,blue)].
A box contains 3 marbles 1 red, 1 green, and 1 blue. Consider an ex.pdf
1. A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of
taking 1 marble from the box and then replacing it in the box and drawing a second marble from
the box.
Describe the sample space. Repeat when the second marble is drawn without replacing the first
marble.
Solution
this event consists of drawing of total number of 2 balls from the box since the ball
is replaced after taking, we can take any of the 3balls during the secong attempt and the sample
space will be: [ (red,red) (red,blue) (red,green) (blue,red) (blue,blue)(blue,green) (green,red)
(green,blue) (green,green)] the first color indicates the ball taken during the first attempt, and
2nd color indicated the ball taken after replacing the ball in the box. now if the ball is not
replaced in the box after taking it, only two balls will be left if we take 1 ball, hence only 2
possibilities will be there in the 2nd attempt so, the sample space will be: [ (red,blue) (red,green)
(blue,red) (blue,green) (green,red) (green,blue)]
![A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of
taking 1 marble from the box and then replacing it in the box and drawing a second marble from
the box.
Describe the sample space. Repeat when the second marble is drawn without replacing the first
marble.
Solution
this event consists of drawing of total number of 2 balls from the box since the ball
is replaced after taking, we can take any of the 3balls during the secong attempt and the sample
space will be: [ (red,red) (red,blue) (red,green) (blue,red) (blue,blue)(blue,green) (green,red)
(green,blue) (green,green)] the first color indicates the ball taken during the first attempt, and
2nd color indicated the ball taken after replacing the ball in the box. now if the ball is not
replaced in the box after taking it, only two balls will be left if we take 1 ball, hence only 2
possibilities will be there in the 2nd attempt so, the sample space will be: [ (red,blue) (red,green)
(blue,red) (blue,green) (green,red) (green,blue)]](https://image.slidesharecdn.com/aboxcontains3marbles1red1greenand1blue-230402063739-9b4c0c85/85/A-box-contains-3-marbles-1-red-1-green-and-1-blue-Consider-an-ex-pdf-1-320.jpg)
