
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 a certain basketball player has a 50% chance of making each shot, we use a random simulation method to estimate the probability that the player makes exactly two out of four shots: First, we generate a random integer between 0 and 9 using a calculator, where 0, 1, 2, 3, and 4 represent a successful shot, and 5, 6, 7, 8, and 9 represent a missed shot; then, we group every four random numbers to represent the results of four shots. After conducting the random simulation, 20 groups of random numbers are generated:  
9075    9660    1918    9257     2716     9325     8121     4589    5690     6832  
4315    2573    3937    9279     5563     4882     7358     1135    1587     4989  
Based on this, estimate the probability that the athlete makes exactly two out of four shots.

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