A game is designed for a host and three players; each has a bag containing three

Question

A game is designed for a host and three players; each has a bag containing three different color marbles. The host begins the game by drawing one marble from his/her bag. Player 1 then draws a marble from his/her bag and wins the game if the color matches the host's marble. If Player 1 does not w in, Player 2 draws a marble from his/her bag and wins if the color matches either of the two previous marbles. If there is still no w inner, Player 3 draws a marble from his/her bag and wins if the color matches any of the three previous marbles. What is the probability that each of the players will win the game? Will there always be a winner?

Explanation / Answer

Players are 3 members

Each bag containing 3 colors

Host shows a marble

winning probability of player1

1/3

lose probability of player1 =2/3

player2 winning probability=1/3

lose probability =2/3

player 3 winning probability =1/3

lose probality =2/3

b) here may be a winner always.

Reason is winning probability < lose probability of every player

       

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