sonn4406 sonn4406
  • 03-04-2018
  • Mathematics
contestada

Suppose that a and b are two independent events with p(a)=0.2 and p(b)=0.4. p(a or
b.is

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LammettHash
LammettHash LammettHash
  • 03-04-2018
Recall that

[tex]\mathbb P(A\cup B)=\mathbb P(A)+\mathbb P(B)-\mathbb P(A\cap B)[/tex]

Since [tex]A[/tex] and [tex]B[/tex] are independent, we have [tex]\mathbb P(A\cap B)=\mathbb P(A)\cdot\mathbb P(B)[/tex]. So

[tex]\mathbb P(A\cup B)=0.2+0.4-0.2\cdot0.4=0.52[/tex]
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