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Urn1:- P(r1)=4/7 P(b1)=3/7
Urn2:- P(r2)=5/9 P(b2)=4/9
Urn3= P(r3)=1/2=P(b3)
P(2red,1black)= P(r1)*P(r2)*P(b1)+ P(r1)*P(b2)*P(r3)+ P(b1)*P(r20*P(r3)
=>(4/7*5/9*1/2)+(4/7*4/9*1/2)+(3/7*5/9*1/2) 51/126=> 17/42.
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Day 2: Compound Event Probability
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Urn1:- P(r1)=4/7 P(b1)=3/7
Urn2:- P(r2)=5/9 P(b2)=4/9
Urn3= P(r3)=1/2=P(b3)
P(2red,1black)= P(r1)*P(r2)*P(b1)+ P(r1)*P(b2)*P(r3)+ P(b1)*P(r20*P(r3)
=>(4/7*5/9*1/2)+(4/7*4/9*1/2)+(3/7*5/9*1/2) 51/126=> 17/42.