Question

Determine $P\left(\frac{E}{F}\right)$
Two coins are tossed once, where
E: no tail appears F : no head appears

Answer 1

IF two coins are tossed once, then the sample space S = {HH, HT, TH, TT}

E = Set of events having no tail = {HH},
F = Set of events having no head $=TTandE\cap F=\varphi P\left(E\right)=\frac{1}{4},\frac{1}{4}andP(E\cap F)=\frac{0}{4}=0.\because P\left(\frac{E}{F}\right)=\frac{P(E\cap F)}{P\left(F\right)}=\frac{0}{\frac{1}{4}}=0$