standard_description: Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households?
problem_activity: Task
Bernardo and Silvia play the following game. An integer between 0
and 999, inclusive, is selected and given to Bernardo. Whenever
Bernardo receives a number, he doubles it and passes the result to
Silvia. Whenever Silvia receives a number, she adds 50 to it and
passes the result to Bernardo. The winner is the last person who
produces a number less than 1000. What is the smallest initial number that results in a win for Bernardo?


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