Answer
a) $\frac{82}{100}$
b) $\frac{90}{100}$
c) $\frac{80}{90}$
d) $\frac{80}{82}$
Work Step by Step
Probability = Total number of favourable outcomes/Total number of possible outcomes
a) $P(A)=\frac{80+2}{80+2+10+8}=\frac{82}{100}$
b) $P(B)=\frac{80+10}{80+2+10+8}=\frac{90}{100}$
c) $P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{\frac{80}{100}}{\frac{90}{100}}=\frac{80}{90}$
d) $P(B|A)=\frac{P(B\cap A)}{P(A)}=\frac{\frac{80}{100}}{\frac{82}{100}}=\frac{80}{82}$
