Suppose $A$, $B$ and $C$ are three events and $P ( A ) = a , P ( B ) = b , P ( C ) = c$ are known. Let $P ( A \cup B \cup C ) = p$. The statements below are about whether we can find the value of $p$ if we know some additional information. (Note: $\cup$ is the same as OR. Similarly $\cap$ is the same as AND.) Statements (33) We can find the value of $p$ if we know that at least one of $a , b , c$ is 1. (34) We can find the value of $p$ if we know that at least one of $a , b , c$ is 0. (35) We can find the value of $p$ if we know that any two of $A , B$ and $C$ are mutually exclusive. (36) We can find the value of $p$ if we know that any two of $A , B$ and $C$ are independent and we know the value of $P ( A \cap B \cap C )$.
Suppose $A$, $B$ and $C$ are three events and $P ( A ) = a , P ( B ) = b , P ( C ) = c$ are known. Let $P ( A \cup B \cup C ) = p$. The statements below are about whether we can find the value of $p$ if we know some additional information. (Note: $\cup$ is the same as OR. Similarly $\cap$ is the same as AND.)
\textbf{Statements}
(33) We can find the value of $p$ if we know that at least one of $a , b , c$ is 1.\\
(34) We can find the value of $p$ if we know that at least one of $a , b , c$ is 0.\\
(35) We can find the value of $p$ if we know that any two of $A , B$ and $C$ are mutually exclusive.\\
(36) We can find the value of $p$ if we know that any two of $A , B$ and $C$ are independent and we know the value of $P ( A \cap B \cap C )$.