If $A$ and $B$ are any two events,then $P(\bar{A} \cap B) = $

Suppose that a die (with faces marked $1$ to $6$) is loaded in such a manner that for $K = 1, 2, 3, 4, 5, 6$,the probability of the face marked $K$ turning up when the die is tossed is proportional to $K$. The probability of the event that the outcome of a toss of the die will be an even number is equal to

$A$ die is thrown. Find the probability of the following event: $A$ number greater than or equal to $3$ will appear.

$A$ coin is tossed $3$ times. The probability of getting exactly two heads is

What is the probability of getting at least one tail when a coin is tossed $4$ times?

The probability of drawing a white ball from a bag containing $3$ black balls and $4$ white balls is: