Will it rain today?

Discrete Mathematics Level 3

The probability of raining increases 10% each day for the next day if it doesn't rain.
Once it rains the probability of raining decreases by 30%.
Also, it is known that once it didn't rain 5 days in a row, it must rain for the 6th. It had rained 99 days ago.
Whats the maximum probability to rain today?
Answer in decimals.


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