
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that Bag A has 4 white marbles and 5 black marbles, Bag B has 7 yellow marbles and 3 blue marbles, Bag C has 3 yellow marbles and 6 blue marbles, and Bag D has 5 yellow marbles and 4 blue marbles, calculate the probability that a yellow marble is drawn from Bag B or Bag C or the final marble drawn from Bag D is yellow.

Present the answer in LaTex format: \boxed{Your answer}
user