Let A and B be two non-null events such

Question:

Let $\mathrm{A}$ and $\mathrm{B}$ be two non-null events such that $A \subset B$. Then, which of the following statements is always correct ?

  1. $\mathrm{P}(\mathrm{A} \mid \mathrm{B})=1$

  2. $\mathrm{P}(\mathrm{A} \mid \mathrm{B})=\mathrm{P}(\mathrm{B})-\mathrm{P}(\mathrm{A})$

  3. $\mathrm{P}(\mathrm{A} \mid \mathrm{B}) \leq \mathrm{P}(\mathrm{A})$

  4. $\mathrm{P}(\mathrm{A} \mid \mathrm{B}) \geq \mathrm{P}(\mathrm{A})$

Correct Option: , 4

Solution:

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