Carnival game: find probability distribution

G

Guest

Guest
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 50 cents for each toss.

Determine the probability distribution for the experiment of playing the game and observing the player's earnings.
 
What are the possible outcomes?

1 toss ==> Pays 50¢ ==> Lose 50¢
2 tosses ==> Pays $1.00 ==> Break Even
3 tosses ==> Pays $1.50 ==> Win 50¢
4 tosses ==> Pays $2.00 ==> Win $1.00

What are the probabilties of those outcomes?
 
You must log in or register to reply here.
Top