An absent-minded nurse is to give Mr. Brown a pill each day. The probability that the nurse forgets to administer the pill is 2/3. If he receives the pill, the probability that Mr. Brown will die is 1/3. If he does not get his pill, the probability that he will die is 3/4. Mr. Brown dies. What is the probability that the nurse forgot to give him his pill?
Probability that the nurse forgets to administer the pill is 2/3
Probability that the nurse administers the pill is therefore equal to (1- 2/3) = 1/3
If Mr. Brown receives the pill, the ...
The solution calculates posterior probability using Bayes theorem.