# Two coins are tos

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

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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