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This seems like the obvious answer to me as well. What am I missing?
Now that I see this problem again, my thoughts on it are slightly different.
In the version with no bombs, there's a possible scenario where the picker draws a red ball but lies to you by keeping silent. So, there's a viable way for "you hear nothing" AND "Jar R" to happen.
But in the version with bombs, the scenario with "you are alive" AND "Jar R" can never happen. So, being alive in the with-bomb version is stronger evidence for Jar S than hearing nothing in the no-bomb version.