Let $A$ and $B$ be two events such that $P(A \cup B) \geq 0.75$ and $0.125 \leq P(A \cap B) \leq 0.375$.

What is the maximum value of $P(A) + P(B)$?

Consider the following for the next two (02) items that follow:

$A$, $B$ and $C$ are three events such that $P(A) = 0.6$, $P(B) = 0.4$, $P(C) = 0.5$, $P(A \cup B) = 0.8$, $P(A \cap C) = 0.3$ and $P(A \cap B \cap C) = 0.2$ and $P(A \cup B \cup C) \geq 0.85$.

What is the minimum value of $P(B \cap C)$?

Consider the following for the next two (02) items that follow:

$A$, $B$ and $C$ are three events such that $P(A) = 0.6$, $P(B) = 0.4$, $P(C) = 0.5$, $P(A \cup B) = 0.8$, $P(A \cap C) = 0.3$ and $P(A \cap B \cap C) = 0.2$ and $P(A \cup B \cup C) \geq 0.85$.

What is the maximum value of $P(B \cap C)$?

Consider the following for the next two (02) items that follow:

An unbiased coin is tossed $n$ times. The probability of getting at least one tail is $p$ and the probability of at least two tails is $q$ and $p - q = \frac{5}{32}$.

What is the value of $n$?