In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times. He receives fifty cents for each toss. Determine the probability distribution for the experiment of playing the game and observing the player's earnings.
In each game, the player pays $1. He can toss at least once and receives 50 cents=$0.5. So his least earning is $0.5-$1=-$0.5. He can toss at most 4 times and ...
A probability distribution is determined for a coin flip game.