Whenever a certain mathematician needs a piece of chalk she is equally likely to retrieve a piece from her right pocket as her left pocket. Assume she starts the day with 10 pieces of chalk in each pocket and consider the moment when she first discovers that one of her pockets is empty. What is the probability that there are exactly 2 pieces of chalk in the other box? Hint #1: Define success as retrieving fr
Whenever a certain mathematician needs a piece of chalk she is equally likely to retrieve
a piece from her right pocket as her left pocket. Assume she starts the day with 10 pieces
of chalk in each pocket and consider the moment when she first discovers that one of her
pockets is empty. What is the
other box? Hint #1: Define success as retrieving from the right pocket then define event
A as reaching into that pocket and finding it empty. The answer is two times P(A)
From the given information, a piece of chalk she is equally likely to retrieve a piece from her right pocket as her left pocket.
Assume she starts the day with 10 pieces of chalk in each pocket and consider the moment when she first discovers that one of her pockets is empty.
Let A be the number of remaining in the other pocket.
Let K be the number of successes before (M+1) failures with p=probability of retrieving a chalk from right pocket=1/2 has Negative Binomial distribution with,
From the given information, M=10.
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