If $P(A) - P(\bar{A}) = 0.5,$ then $P(A) =$ .........

$A$ balanced die is rolled twice. Then,the probability of the event that the sum of the numbers received in two trials is more than $10$ is ...........

In a shop, there are $50$ packets of tea out of which $5$ are under-weight. One packet is selected at random from the lot. Find the probability that an under-weight packet is selected.

The probability of getting two heads in the experiment of tossing an unbiased coin twice is .........

If $P(\overline{D}) = \frac{6}{17}$,then $P(D) = \ldots$

$A$ game consists of spinning an arrow which comes to rest pointing at one of the regions ($1, 2$ or $3$). Are the outcomes $1, 2$ and $3$ equally likely to occur? Give reasons.