Question

If $A$ and $B$ are two non-empty sets with $B^c$ denoting the complement of set $B$ such that $B\subset A$, then which of the following probability statements hold true?

• A. $P(A\cap B^c)=P\left(B\right)-P\left(A\right)$
• B. $P(A\cap B^c)=P\left(A\right)-P\left(B\right)$
• C. $P\left(B\right)\le P\left(A\right)$
• D. $P\left(A\right)\le P(B$

Answer 1

Answer: (B), (C)

The correct options are
B $P(A\cap B^c)=P\left(A\right)-P\left(B\right)$
C $P\left(B\right)\le P\left(A\right)$