[All Steps] A and B agree to play the following game: at each step a chip is drawn from the urn containing 4 red chips and 3 green chips with replacement.
Question:
A and B agree to play the following game: at each step a chip is drawn from the urn containing 4 red chips and 3 green chips with replacement. A wins the game if 4 red chips are drawn consecutively before 3 green chips are drawn consecutively. B wins the game if 3 green chips are drawn consecutively before 4 red chips are drawn consecutively. Fin the probability that A wins the game.
3. A fair coin is tossed 10 times. Let S
i
= the number of heads - the number of tails after i tosses for i = 1, 2, 3, ...,10. What is the probability that S
i
is greater than 0 for all i = 1, 2, 3,..., 10?
Deliverable: Word Document 
![[Solved] Determine the sum of the series:](/images/solutions/MC-solution-library-42991.jpg "[Solved] Determine the sum of the series:")
[Solved] Determine the sum of the series:
(See Steps) List the first four terms of the series ∑limits_n=1^∞
(See Solution) State whether each of the following series converge
(Steps Shown) Use the Integral Test to show that if p>1, then
(See Solution) (a) Explain why the series ∑limits_n=0^∞
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