Anuja is shooting at a target with probability of hitting p. She keeps shooting (infinitely) till she hits α consecutive times (and is confident) or misses β consecutive times (and is disappointed). What is the probability that she comes out of practice confident?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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Anuja is shooting at a target with probability of hitting p. She keeps shooting (infinitely) till she hits α consecutive times (and is confident) or misses β consecutive times (and is disappointed). What is the probability that she comes out of practice confident?

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