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4. (4 pts) Bonnie and Clyde Remember Bonnie and Clyde's prisonnier's dilemma. Assume that
after each crime, there is a probability 0<<1 that they commit a new crime and get caught again
(and a probability 1 that they never commit a crime again). They know that if they play C, the other
will never play S again (hence will play C forever). But if they both play S, the other will be nice
and play S again next time. What is the probability that makes it more interesting to play C ? Hint,
remember that the sum i=11=1 if 1<<1.

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