# Cons30 S Probability Expected Value

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Information about Cons30 S Probability Expected Value

Published on April 7, 2009

Author: nmal

Source: slideshare.net

EXPECTED VALUE

EXPECTED VALUE: Either a GAIN or a LOSS based on the probability of winning and losing a  game. There are certain games / situations that cost money to play and these  are the situations that we are interested in.

You pay \$3 to play this game.  You get one chance to pick the Ace  of clubs.  If you get it you win \$10.  Is this is a good (financial \$)  idea to play?

EXPECTED VALUE =  PROB(WIN) * GAIN   +   PROB(LOSING) * GAIN ...if there are only a win and a lose situations... OR EXPECTED VALUE =  PROB(WIN) * GAIN   +   PROB(WIN) * GAIN   +   PROB(WIN) * GAIN + ... ...if there are more than one winning situation...

PROB(WIN) * GAIN   +   PROB(LOSING) * GAIN

PROB(WIN) * GAIN   +   PROB(LOSING) * GAIN

EX   There is a bag with 10 marbles in it, 5 red, 3 blue and 2 yellow.  The game    is to blindly pick one from the bag.     If it's:     red ­ win \$2 blue ­ win \$5 yellow ­ win \$10   The game costs \$3 to play.  What is your expected value?

HOMEWORK pg.353; #1­7

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