ความน่าจะเป็นแบบมีเงื่อนไข

[Oriel]

A study is done of people who have been charged by police on a drug-related crime in a large
urban area. A conviction must take place in order for there to be a sentence of jail time.
The following information is determined:

(a) 75% are convicted.
(b) 10% of those convicted actually did not commit the crime.
(c) 25% of those not convicted actually did commit the crime.
(d) 2% of those who actually did not commit the crime are jailed.
(e) 20% of those who actually did commit the crime are not jailed.

Find the probability that someone charged with a drug-related crime who is convicted but not
sentenced to jail time actually did not commit the crime.