Question

The probability of occurrence of event A is 0.7 and that of the occurrence of event B is 0.3 and the probability of occurrence of both is 0.4. TRUE/FALSE

Answer 1

Solution:

It is given that

$P\left(A\right)=0.7$

$P\left(B\right)=0.3$

$P(A\cap B)=0.4$

We know, for any two events A and B

$(A\cap B)\subseteq Aand(A\cap B)\subseteq B$

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

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

As, $P(A\cap B)=0.4andP\left(B\right)=0.3$.

Given equation is invalid.

The given statement is False.

Final Answer: False