Answer
$a) \frac{86}{100}$
$b) \frac{79}{100}$
$c) \frac{70}{79}$
$d) \frac{70}{86}$
Work Step by Step
a) P(A)= No. of favourable outcomes$\div$ Total no. of outcomes= $\frac{70+16}{70+16+9+5}=\frac{86}{100}$
b) P(B)= $\frac{70+9}{100}=\frac{79}{100}$
c) $P(A|B)= \frac{P(A\cap B)}{P(B)}=\frac{\frac{70}{100}}{\frac{79}{100}}=\frac{70}{79}$
d) $P(B|A)=\frac{P(A\cap B)}{P(A)}=\frac{\frac{70}{100}}{\frac{86}{100}}=\frac{70}{86}$
