Q. 74.0( 48 Votes )

Two coins are tossed once, where

(i) E : tail appears on one coin, F : one coin shows head

(ii) E : no tail appears, F : no head appears

Determine P(E|F)

Answer :

The sample space of the given experiment will be:

S = {HH, HT, TH, TT}


(i) Here, E: tail appears on one coin


And F: one coin shows head


E = {HT, TH} and F = {HT, TH}


E F = {HT, TH}


So,


Now, we know that


By definition of conditional probability,




P(E|F) = 1


(ii) Here, E: no tail appears


And F: no head appears


E = {HH} and F = {TT}


E F = ϕ


So,


Now, we know that


By definition of conditional probability,




P(E|F) = 0


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