Question 1203576
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P(2 reds drawn from first urn) = {{{C(4,2)/C(10,2)=6/45=2/15}}}<br>
P(2 greens drawn from first urn) = {{{C(6,2)/C(10,2)=15/45=1/3}}}<br>
P(2 marbles of same color drawn from first urn = {{{2/15+1/3=2/15+5/15=7/15}}}<br>
P(2 reds drawn from first urn and red drawn from second urn) = {{{(2/15)(9/11)=18/165=6/55}}}<br>
P(2 greens drawn from first urn and red drawn from second urn) = {{{(1/3)(7/11)=7/33}}}<br>
P(2 drawn from first urn are same color and red drawn from second urn) = {{{6/55+7/33=18/165+35/165=53/165}}}<br>
P(red drawn from second urn, given that 2 drawn from first urn are same color) = {{{(53/165)/(7/15)=(53/165)/(77/165)=53/77}}}<br>
ANSWER: 53/77<br>