Question

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​

Answer 1

If two coins are tossed once, then the sample space S is

S={HH,HT,TH,TT}

(i) E={HT,TH}

F={HT,TH}

∴E∩F={HT,TH}

P(F)=

4

2

=

2

1

P(E∩F)=

4

2

=

2

1

∴P(E∣F)=

P(F)

P(E∩F)

=1

(ii) E={HH}

F={TT}

∴E∩F=Φ

P(F)=1 and P(E∩F)=0

∴P(E∣F)=

P(F)

P(E∩F)

=

1

0

=0