
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
Find the probability that the two groups will be able to contact each other. There are 5 tourists in the first group and 8 tourists in the second group. The probability that a tourist from the first group has the phone number of a tourist from the second group is \( p \). Thus, the probability that no tourist has any phone number of a tourist from the other group is \((1-p)^{40}\).

Therefore, the desired probability is \( 1 - (1-p)^{40} \).

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