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If X and Y are two independent events with P(X∪Y) = 0.8 and P(Y) = 0.5 then P(X) =
  • a)
    0.2
  • b)
    0.6
  • c)
    0.5
  • d)
    0.4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If X and Y are two independent events with P(X∪Y) = 0.8 and P(Y) =...
We know that P(X∪Y)=P(X)+P(Y)−P(X∩Y)
Given that both X and Y are independent hence P(X∩Y)=P(X).P(Y)
So 0.8=P(X)+0.5−0.5×P(X)
0.3=0.5P(X)
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Most Upvoted Answer
If X and Y are two independent events with P(X∪Y) = 0.8 and P(Y) =...
If X and Y are two independent events with P(X < y),="" it="" means="" that="" the="" probability="" of="" event="" x="" occurring="" before="" event="" y="" is="" greater="" than="" 0="" but="" less="" than="" 1.="" in="" other="" words,="" it="" is="" possible="" for="" event="" x="" to="" occur="" before="" event="" y,="" but="" it="" is="" not="" certain.="" y),="" it="" means="" that="" the="" probability="" of="" event="" x="" occurring="" before="" event="" y="" is="" greater="" than="" 0="" but="" less="" than="" 1.="" in="" other="" words,="" it="" is="" possible="" for="" event="" x="" to="" occur="" before="" event="" y,="" but="" it="" is="" not="" />
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If X and Y are two independent events with P(X∪Y) = 0.8 and P(Y) = 0.5 then P(X) =a)0.2b)0.6c)0.5d)0.4Correct answer is option 'B'. Can you explain this answer?
Question Description
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