Calculate the probability of $x$ successes in a row in n trials?

Asked Dec 30 '16 at 17:37

Active Dec 30 '16 at 21:34

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I am trying to find the probability that a person hits a baseball into a "success zone" five times in a row within $30$ total hits. The chance of hitting the success zone is $.3571$.

I am not sure whether to use cumulative binomial probability or any other summation sequence because of the "consecutive" part of the problem.

Basically I'm finding $x$ number of successes in a row in n trials though.

edited Dec 30 '16 at 18:37

Juniven Acapulco

9,654

asked Dec 30 '16 at 17:37

Megan Carver

Exactly five times ? If yes, does he stops as soon as he gets 5 ? – Canardini Dec 30 '16 at 18:02
1

See this http://math.stackexchange.com/questions/602123/what-are-the-odds-of-getting-heads-7-times-in-a-row-in-40-tries-of-flipping-a-co – Kanwaljit Singh Dec 30 '16 at 18:14
Many similar answer in the link provided by Byron. – Kanwaljit Singh Dec 30 '16 at 18:16
yes they stop after 5 @Canardini – Megan Carver Dec 30 '16 at 18:37
@MeganCarver Wait my answer is not correct if they stop after 5. – gowrath Dec 30 '16 at 18:55
@MeganCarver Could you explain your question slightly more? Do you want the probability that at some point, they get 5 consecutive successes in the 30 trials and the rest of the 25 trials can be anything? – gowrath Dec 30 '16 at 19:07
Depending on the answer to that, perhaps see question 2076355 recently answered on this site. – BruceET Dec 30 '16 at 19:51
oh well thank you anyways! @gowrath – Megan Carver Dec 30 '16 at 23:40
@MeganCarver I can still try answer your question if you clarify it a bit as per my last comment. – gowrath Dec 30 '16 at 23:41
refer to the answer to this post – G Cab Jan 07 '17 at 22:50

Calculate the probability of $x$ successes in a row in n trials?

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