Question

The probability of intersection of two events A and B is always less than or equal to those favorable to the event A. TRUE/FALSE

Answer 1

Solution:

We know that for any two sets x and y
$X\cap Y\subseteq X$

Therefore, for events A and B.
$A\cap B\subseteq A$

$\therefore P(A\cap B)\le P\left(4\right)$

[Since, Probability of subset is always less than or equal to the probability of its superset

So, we can say that probability of intersection of two events A and B is always less than or equal to those favorable to the event A Hence, the given statement is true