A Note on the Probability of Winning a Lottery when the Number of Competitors is a Binomial Random Variable
Consider a model in which a consumer faces a lottery with j other people for a prize, so that the probability of winning the prize is 1/(j+1). Now let j be a random variable, determined by the binomial distribution. Specifically, let there be n potential competitors for the consumer in the lottery, each with an independent probability of ? of being a competitor. In this note, we show how the resulting expression for the expected value of 1/(j+1) using binomial probabilities can be simplified by means of the binomial theorem.
|Date of creation:||11 Aug 2010|
|Date of revision:|
|Contact details of provider:|| Postal: Private Bag 4800, Christchurch, New Zealand|
Phone: 64 3 369 3123 (Administrator)
Fax: 64 3 364 2635
Web page: http://www.econ.canterbury.ac.nz
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:cbt:econwp:10/48. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Albert Yee)
If references are entirely missing, you can add them using this form.