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यदि `P(A)=3/8, P(B)=1/2` तब `P(bar(A)/bar(B))` और `(bar(B)/bar(A))` ज्ञात कीजिए। |
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Answer» यहाँ, `P(A) =3/8, P(B)=1/2` `P(A nn B)=1/4` चूँकि `P(bar(A)/B)=(P(bar(A) nn bar(B)))/(P(bar(B)))` ...(1) और `P(bar(B)/bar(A))=(P(bar(A) nn bar(B)))/(P(bar(A)))` ...(2) अब हम `P(bar(A)), P(bar(B))` और `P(bar(A) nn bar(B))` का मान ज्ञात करेंगे। `P(bar(A))=1-P(A)=1-3/8=5/8` `P(bar(B))=1-P(B)=1-1/2=1/2` `P(bar(A) nn bar(B))=P(bar(A uu B))`, [डी-मॉर्गन नियम से] `=1-P(A uu B)` `=1-{P(A)+P(B)-P(A nn B)}` `=1-(3/8+1/2-1/4)` `=1-5/8=3/8` ...(3) `:. P(bar(A)/bar(B))=(P(bar(A)nnbar(B)))/(P(bar(B)))=(3//8)/(1//2)=3/4` और `P(bar(B)/bar(A))=(P(bar(A) nn bar(B)))/(P(bar(A)))=(3//8)/(5//8)=3/5`. |
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