Question

How do you find the probability of $A$and $B$ $?$

Answer 1

Finding the probability of A and B:

If two events $A$ and $B$ are independent, then the probability of occurrence of events $A$ and $B$ can be calculated by the formula:

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

Where $P\left(A\right)$ and $P\left(B\right)$ are the probabilities of event $A$and $B$respectively.

For eg: If $A$ is the event of getting $2$ and $B$is the event of getting $6$ on a dice.

Then $A$ and$B$ are independent events.

$P\left(A\right)=\frac{1}{6}$ and $P\left(B\right)=\frac{1}{6}$

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

$P(A\cap B)=\frac{1}{36}$

Hence, in this way we can find the probability of $A$ and $B$.