a bag contains 7 red, 4 blue, and 6 green marbles. two marbles are drawn from the bag in succession. the…

a bag contains 7 red, 4 blue, and 6 green marbles. two marbles are drawn from the bag in succession. the color and order in which the balls are drawn is noted. use the tree diagram below to determine the sample space for possible outcomes. in writing the sample space, use r for red, b for blue, and g for green.\n\nselect the correct sample space for this event.\nrr,rb,rg,bb,bg\nr,b,g\nrb,rg,bg\nrr,rb,rg,br,bb,bg,gr,gb,gg

a bag contains 7 red, 4 blue, and 6 green marbles. two marbles are drawn from the bag in succession. the color and order in which the balls are drawn is noted. use the tree diagram below to determine the sample space for possible outcomes. in writing the sample space, use r for red, b for blue, and g for green.\n\nselect the correct sample space for this event.\nrr,rb,rg,bb,bg\nr,b,g\nrb,rg,bg\nrr,rb,rg,br,bb,bg,gr,gb,gg

Answer

Explanation:

Step1: Identify first draw options

First draw can be R, B, or G.

Step2: List second draw pairs

For each first draw, pair with R, B, G:

  • First R: RR, RB, RG
  • First B: BR, BB, BG
  • First G: GR, GB, GG

Step3: Combine all outcomes

Collect all ordered pairs into a set.

Answer:

[RR,RB,RG,BR,BB,BG,GR,GB,GG]