
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
$A$ makes a bet with $B$ that in a group of 7 people, at least one individual was born on a Sunday. $A$ bets 10 forints while $B$ bets 5 forints.

a) Who has the advantage in this bet?

b) How many people must be in the group for $B$ to be at a disadvantage even with a 1 forint bet?

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