Engineering
Mathematics
Addition Theorem on Probability
Basic Definitions Related to Probability
Question
A lot contains 50 defective and 50 non defective bulbs. Two bulbs are drawn at random, one at a time, with replacement. The events A,B,C are defined as
A = { the first bulb is defective}
B = { the second bulb is non defective}
C = { the two bulbs are both defective or both non defective},
then which of the following statement is(are) correct?
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Solution
P(D) = 1/2 ; P(G) = 1/2
P(A) = P{DG or DD} ⇒ P(A) = 1/4 + 1/4 = 1/2
P(B) = P{DG or GG} ⇒ P(B) = 1/4 + 1/4 = 1/2
P(C) = P{GG or DD} ⇒ P(C) = 1/4 + 1/4 = 1/2
P(A⋂B) = P(B⋂C) = P(C⋂A) = 1/4