I'm working on this question below
In a survey of working individuals, the probability of being employed in one of the three sectors, manufacturing, agriculture and service are given as 0.4, 0.05 and 0.55. Researchers are interested in the impact of education. The probability of having a degree given that an individual works in manufacturing is 0.7. The probability of having a degree given that an individual works in agriculture is 0.05 and the probability of having a degree given the individual works in the service sector is 0.60.
a) What is the overall probability that an individual has a degree?
i thought to do
$p(m/h) =\frac{p(M and D)}{P(m)}$
$0.7 =\frac{p(M and D)}{0.4}$ to calculate p(m and d) as 0.28 then i did p (m and d) =P(d)x P(m) and calculated p(d) as 0.7
m being mechanic and d for a degree
but according to my answer sheet its a) 0.6125
I can't figure out what I've done wrong any help would be great