Hana has a bag containing one red (R), one blue (B), and one yellow (Y) tile. She draws two tiles out of the bag, one after the other. Which explanation and tree diagram represent a pair of dependent of events?
Answer
A
Once a tile is chosen, it cannot be chosen again: Image with description A tree diagram with three levels. Level 1 is R with branches of B and Y. Level 2 is B with branches of R and Y. Level 3 is Y with branches of R and B.
B
Once a tile is chosen, it can be chosen again: Image with description A tree diagram with three levels. Level 1 is R with branches of B and Y. Level 2 is B with branches of R and Y. Level 3 is Y with branches of R and B.
C
Once a tile is chosen, it cannot be chosen again: Image with description A tree diagram with three levels. Level 1 is R with branches of R, B, and Y. Level 2 is B with branches of R, B, and Y. Level 3 is Y with branches of R, B, and Y.
D
Once a tile is chosen, it can be chosen again: Image with description A tree diagram with three levels. Level 1 is R with branches of R, B, and Y. Level 2 is B with branches of R, B, and Y. Level 3 is Y with branches of R, B, and Y.
Explanation
The draws are dependent when the first tile is not returned to the bag, because the first draw changes which tiles are available for the second draw. For example, after drawing R, only B and Y can be drawn next. Choice A says the tile cannot be chosen again and shows the matching branches, with each second draw excluding the first tile.
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