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ome questions that were on the final exam:

If anyone knows how to do these, please write down your answers.

## Question 1

Solve the recurrence, I don't remember what the recurrence was.

## Question 2

Roll a normal dice. The probability of getting an *i* number is *i* times 1.
a)What is the probability of each possible roll?

b)Find the probability that after 3 rolls, you still haven't seen a "1".

## Question 3

Something about finding a_{n} with ways of making an "n" length set of four colors: Red, Blue, Green, and Yellow. The only stipulation was that after each red, a blue must follow, unless the red is the very last color in the sequence.