Shockwave
Nov12-04, 08:41 PM
You and a person play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if the faces are both heads, you win $2; if the coins do not match you lose $1 i.e. win $-1. Give the probability distribution of your winnings Z, on a single play of this game.
Head-Head ==> 0.5*0.5 = 0.25 ==> 0.25*(+2) = 0.50
Head-Tail ==> 2x0.5*0.5 = 0.50 ==> 0.50*(-1) = -0.50
Tail-Tail ==> 0.5*0.5 = 0.25 ==> 0.25*(+1) = 0.25
---------
0.25
Am I right?
Head-Head ==> 0.5*0.5 = 0.25 ==> 0.25*(+2) = 0.50
Head-Tail ==> 2x0.5*0.5 = 0.50 ==> 0.50*(-1) = -0.50
Tail-Tail ==> 0.5*0.5 = 0.25 ==> 0.25*(+1) = 0.25
---------
0.25
Am I right?