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## Homework Statement

17 balls named LOSE

3 balls named WIN

no replacements

person who selects 3rd win ball wins the game, regardless of who selected the other 2 WIN balls

a)If i draw 1st, find the probability that I win the game on my second draw

b) If I draw 1st, find the probability that the opponent wins the game on his second draw

c)If I draw 1st, what is the probability that I win? HINT:you can win on 2nd,3rd,4th draw etc, but not on the 1st draw.

d) Would you prefer to draw 1st or 2nd?

## Homework Equations

## The Attempt at a Solution

a)WWW

(3/20)(2/19)(1/18)=1/1140

b)WWLW

LWWW

WLWW

3*(1/1140)

c) and d) I'm not sure... the question seems to be hinting about using 1-(complement)..but I cant seem to find it.