Mixing
Probability of selecting x black marbles in a row
If i have a jar with an infinite amount of marbles, whites and black ones.
Each time i pick a marble there is 0.46 probability that it is white, and 0.54 probability that it is black.
What is the probability that i at some point picked 7 black marbles in a row after 400 trials. And can this be generalized to probability of at some point having picked x black marbles in a row after n trials?
What kind of probabilistic model can be used for this kind of task?
Thanks alot
probability probability-theory probability-distributions
asked Nov 21 '18 at 18:29
user3107438user3107438
255
add a comment |
If i have a jar with an infinite amount of marbles, whites and black ones.
Each time i pick a marble there is 0.46 probability that it is white, and 0.54 probability that it is black.
What is the probability that i at some point picked 7 black marbles in a row after 400 trials. And can this be generalized to probability of at some point having picked x black marbles in a row after n trials?
What kind of probabilistic model can be used for this kind of task?
Thanks alot
probability probability-theory probability-distributions
asked Nov 21 '18 at 18:29
user3107438user3107438
255
Title says white, question says black. Presumably picking $8$ black marbles in a row counts as $7$ having been achieves
– Henry
Nov 21 '18 at 18:38
When you write "at some point" then the answer is obvious: the probability is 100%. Just keep picking sequences of length 400 and at some point you're guaranteed (in probability) to select 7 black marbles in a row.
– David G. Stork
Nov 21 '18 at 19:32
add a comment |
If i have a jar with an infinite amount of marbles, whites and black ones.
Each time i pick a marble there is 0.46 probability that it is white, and 0.54 probability that it is black.
What is the probability that i at some point picked 7 black marbles in a row after 400 trials. And can this be generalized to probability of at some point having picked x black marbles in a row after n trials?
What kind of probabilistic model can be used for this kind of task?
Thanks alot
probability probability-theory probability-distributions
asked Nov 21 '18 at 18:29
user3107438user3107438
255
If i have a jar with an infinite amount of marbles, whites and black ones.
Each time i pick a marble there is 0.46 probability that it is white, and 0.54 probability that it is black.
What is the probability that i at some point picked 7 black marbles in a row after 400 trials. And can this be generalized to probability of at some point having picked x black marbles in a row after n trials?
What kind of probabilistic model can be used for this kind of task?
Thanks alot
probability probability-theory probability-distributions
probability probability-theory probability-distributions
asked Nov 21 '18 at 18:29
user3107438user3107438
255
asked Nov 21 '18 at 18:29
user3107438user3107438
255
edited Nov 21 '18 at 18:39
user3107438
asked Nov 21 '18 at 18:29
user3107438user3107438
255
asked Nov 21 '18 at 18:29
user3107438user3107438
255
asked Nov 21 '18 at 18:29
user3107438user3107438
255
255
Title says white, question says black. Presumably picking $8$ black marbles in a row counts as $7$ having been achieves
– Henry
Nov 21 '18 at 18:38
When you write "at some point" then the answer is obvious: the probability is 100%. Just keep picking sequences of length 400 and at some point you're guaranteed (in probability) to select 7 black marbles in a row.
– David G. Stork
Nov 21 '18 at 19:32
add a comment |
Title says white, question says black. Presumably picking $8$ black marbles in a row counts as $7$ having been achieves
– Henry
Nov 21 '18 at 18:38
When you write "at some point" then the answer is obvious: the probability is 100%. Just keep picking sequences of length 400 and at some point you're guaranteed (in probability) to select 7 black marbles in a row.
– David G. Stork
Nov 21 '18 at 19:32
Title says white, question says black. Presumably picking $8$ black marbles in a row counts as $7$ having been achieves
– Henry
Nov 21 '18 at 18:38
Title says white, question says black. Presumably picking $8$ black marbles in a row counts as $7$ having been achieves
– Henry
Nov 21 '18 at 18:38
When you write "at some point" then the answer is obvious: the probability is 100%. Just keep picking sequences of length 400 and at some point you're guaranteed (in probability) to select 7 black marbles in a row.
– David G. Stork
Nov 21 '18 at 19:32
When you write "at some point" then the answer is obvious: the probability is 100%. Just keep picking sequences of length 400 and at some point you're guaranteed (in probability) to select 7 black marbles in a row.
– David G. Stork
Nov 21 '18 at 19:32
add a comment |
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Title says white, question says black. Presumably picking $8$ black marbles in a row counts as $7$ having been achieves
– Henry
Nov 21 '18 at 18:38
When you write "at some point" then the answer is obvious: the probability is 100%. Just keep picking sequences of length 400 and at some point you're guaranteed (in probability) to select 7 black marbles in a row.
– David G. Stork
Nov 21 '18 at 19:32