Question

Sasha performs an experiment. She chooses one marble from each of three sacks. The first sack has black (B) and white (W) marbles. The

second sack has green (G) and yellow () marbles. The third sack has silver (S) and red (R) marbles.
Which tree diagram shows all the possible outcomes for this experiment?
Ос.
OB
OD

Answer 1

Option D is correct

Explanation:

From the question, we have:

`Sack\ 1: B, W`

`Sack\ 2: G, Y`

`Sack\ 3: S, R`

Required

The tree diagram

The selection process is as follows:

`Sack\ 1: B, W`

`Sack\ 1\ and\ Sack\ 2: B (G,Y); W(G,Y)` -- i.e. we write sack 2 as a subset of 1

`Sack\ 1, 2\ and\ 3: B (G(S,R),Y(S,R)); W(G(S,R),Y(S,R))` -- i.e. we write sack 3 as a subset of 2

The only tree diagram that illustrates this is: option D