To reduce costly shutdowns caused by false alarms, management introduces a sec- ond completely independent sensor, and the reactor is shut down only when both sensors report excessive radiation. (According to this perspective, solitary reports o excessive radiation should be viewed as false alarms and ignored, since both sen- sors provide accurate information much of the time.) What is the new probability that the reactor will be shut down because of simultaneous false alarms by both the first and second sensors?