emma picks one marble from a bag. then, she puts the marble back in the bag and picks a marble again. the…
emma picks one marble from a bag. then, she puts the marble back in the bag and picks a marble again. the bag has 1 blue marble, 1 green marble, and 1 yellow marble. which table represents the sample space of this compound event?
Answer
Explanation:
Step1: Understand the compound - event
The first pick has 3 possibilities (blue, green, yellow) and since the marble is replaced, the second pick also has 3 possibilities. The sample - space should list all possible pairs of the first and second picks.
Step2: Analyze the first table
The first table correctly lists all possible combinations. For example, if the first pick is blue (B) and the second pick is blue (B), it is listed as BB. Similarly, all other combinations like BG, BY, GB, GG, GY, YB, YG, YY are present.
Step3: Analyze the second table
The second table has incorrect entries. It has repeated columns for blue and incorrect combinations are listed. For example, there should be a column for green in the top - row for a complete sample - space.
Answer:
The first table represents the sample space of this compound event.