If a dice is thrown twice,then the probability of getting $1$ in the first throw only is

$A$ bag $x$ contains $3$ white balls and $2$ black balls and another bag $y$ contains $2$ white balls and $4$ black balls. $A$ bag and a ball out of it are picked at random. The probability that the ball is white,is

$A$ coin is tossed three times in succession. If $E$ is the event that there are at least two heads and $F$ is the event in which the first throw is a head,then $P\left( \frac{E}{F} \right) = $

$A$ basket contains $5$ apples and $7$ oranges,and another basket contains $4$ apples and $8$ oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges.

In a single throw of $2$ dice,find the probability of getting a total of $3$ or $5$.

Two dice are thrown together. The probability that at least one will show its digit $6$ is