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Answer:
Therefore the probability that he was taught by method A is 0.78.
Explanation:
<h3>Probability:</h3>The ratio of the number of favorable outcomes to the number of all possible outcomes.
<h3>Bayes' Rule:</h3>If the events ,
, .....
from a portion of a sample space S and A is any events of A, then
Given that,
There are two available method for teaching A and B.
The failure rate for A is 35%
That is P(F|A) =35%=0.35
The failure rate for B is 15%
That is P(F|A) =15%=0.15
A used 40% of the time.
P(A)=40%=0.40
B used 60% of the time.
P(A)=60%=0.60
To find P(A|F) , we use the Bayes's rule.
=0.78
Therefore the probability that he was taught by method A is 0.78.