STAT 100A Lecture Notes - Lecture 11: Bernoulli Distribution, Probability Mass Function, Random Variable
Document Summary
Bernoulli random variable if its probability mass function is given by (bernoulli random variable). A random variable x is said to be a. X bin(n, p) the probability mass function is. Let x be the number of times 6 appears. A player bets on a number from 1 to 6, both including. If the number bet on by the player appears i times where i = 1, 2, 3, he wins i units. If the number bet on by the player does not appear on any of the dice, he loses 1 unit. A game is considered to be fair if the expected value for the player is at least 0. Let y be the number of times the number the player bet on appeared. Therefore, as the expected value of the winnings is less than 0, the game is not fair towards the player.
