<PRE><B>Question 883834</B>
4 white balls, 5 black balls, 9 balls total.
With replacement,
{{{P(W,W)=(4/9)(4/9)=16/81}}}
{{{P(B,B)=(5/9)(5/9)=25/81}}}
{{{P(B,W)=1-P(W,W)-P(B,B)=81/81-16/81-25/81=40/81}}}
.
.
.
Without replacement,
{{{P(W,W)=(4/9)(3/8)=1/6}}}
{{{P(B,B)=(5/9)(4/8)=5/18}}}
{{{P(B,W)=1-1/6-5/18=18/18-3/18-5/18=10/18=5/9}}}

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