Computing conditional probabilities in a Bayesian Network with AND

Question

Take this network: https://i.sstatic.net/nHnqk.png

How would I calculate

P(J|S∩E)

Is this correct?

P(J|S∩E) = P(J|S) * P(J|E) ?

I don't understand how they can be given since they are not connected directly.

Any suggestions would be greatly appreciated!

Answer 1

Solved it, I have to apply the Bayes Theorem with the additional condition.

https://dzone.com/storage/temp/8482917-screen-shot-2018-03-14-at-40747-pm.png

P(J|S∩E) = P(J∩S∩E)/P(S∩E)

Reference: https://dzone.com/articles/conditional-probability-and-bayes-theorem

and

https://stats.stackexchange.com/questions/176315/conditional-probability-of-event-a-given-events-b-and-c-occur-events-b-and-c-ar