If P(A)=13/25, P(B)=9/25, P(A|B)=5/9, what is P(A or B or both)

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The probability `P(A)=13/25` , `P(B)=9/25` and `P(A|B) = 5/9` .

`P(A and B)= P(A|B)*P(B) = (5/9)*(9/25) = 5/25`

`P(A or B or (A and B))` = `P(A) + P(B) - P(A and B)` = `13/25 + 9/25 - 5/25 = 17/25`

The required probability P(A or B or both) = 17/25

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