judy picks one of these tiles from a bag. then she puts the tile back in the bag and picks a tile again. 3 5…

judy picks one of these tiles from a bag. then she puts the tile back in the bag and picks a tile again. 3 5 7 which tree - diagram represents the sample space of this compound event?

judy picks one of these tiles from a bag. then she puts the tile back in the bag and picks a tile again. 3 5 7 which tree - diagram represents the sample space of this compound event?

Answer

Explanation:

Step1: Analyze the first - pick possibilities

The first pick can be 3, 5, or 7.

Step2: Analyze the second - pick possibilities for each first - pick

Since the tile is replaced, for each of the first - pick values (3, 5, 7), the second pick can also be 3, 5, or 7. For the first pick of 3, the second - pick branches are 3, 5, 7. For the first pick of 5, the second - pick branches are 3, 5, 7. For the first pick of 7, the second - pick branches are 3, 5, 7.

Answer:

The second tree diagram (the one with the hand pointing at it) represents the sample space of this compound event.