State the term used to describe two events XXX and YYY when P(X∩Y)=0P(X \cap Y) = 0P(X∩Y)=0.
An engineering laboratory tests the reliability of a high-performance drone. The events SSS (sensor failure) and III (interference) are independent. It is observed that the probability of a sensor failure is P(S)=58P(S) = \frac{5}{8}P(S)=85 and the probability that the drone experiences at least one of these issues is P(S∪I)=56P(S \cup I) = \frac{5}{6}P(S∪I)=65.
Find
P(I)P(I)P(I)
P(S∩I′)P(S \cap I')P(S∩I′)
P(S′∣I)P(S' | I)P(S′∣I)