Computing conditional probabilities in a Bayesian Network with AND - statistics

Take this network: https://i.stack.imgur.com/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!

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

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