Question: (2 points)

A three day festival - is being planned to be held in a location with the following weather characteristics:

The probability of rain on any given day is 0.1.

If it rains on a particular day then the probability that it also rains on the next day is 0.4.

If it rains for two days in a row then the probability that it will rain on the following day is 0.29.

What is the probability that it will rain on every day during the festival?

What is the probability that it will rain on the second day, but not rain on the first day and not rain on the last day?

Your answers should be between 0 and 1. Answer to 3 decimal places. Use a dot (.) as the decimal place for all Maple TA questions.

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