if Aand B are two independent events then prove that the probability
if Aand B are two independent events then prove that the probability
shreyansh , 7 Years ago
Grade 12th pass
Magical Mathematics[Interesting Approach]> if Aand B are two independent events then...
1 AnswersViren Jindal
Last Activity: 7 Years ago
. Probability of occurence of at least one of A or B is P(AUB) = P(A) + P(B) – P(A^B).
As Events are independent, P(A^B) = P(A).P(B)
Substituting,
P(AUB) = P(A) + P(B) – P(A).P(B)
= P(A) + P(B)[ 1 – P(A)]
= P(A) + P(B).P(A’)
= 1 – P(A’) + P(B).P(A’)
= 1 – P(A’)[ 1 – P(B)]
= 1 – P(A’)P(B’)
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