Two coins are tossed once. `P(E//F)` in each of the following: `E=` Tail appears on one con, `F=` one coin shows head `E=\ ` No til appears, `F=` No head appears,

Answer

N/a

Explanation

If two coins are tossed once, then the sample space `S` of the experiment is:
`S={HH,HT,TH,"TT"}`
(i) `E=` event of getting tail on one coin `={HT,TH}`
`F=` event of getting one head.
`={HT,TH}` and `EnnF={HT,TH}`
`:.P(E)=2/4=1/2, P(F)=2/4=1/2`
and `P(EnnF)=2/4=1/2`
`:. P(E/F)=(P(EnnF))/(P(F))=(1/2)/(1/2)=1`
(ii) `E=` event of getting no tail `={HH}`,
`F=` event of getting no head `={"TT"}`
and `EnnF=phi`
`P(E)=1/4,P(F)=1/4` and `P(EnnF)=0/4=0`
`:. P(E/F)=(P(EnnF))/(P(F))=0/(1//4)=0`