If $P(A) : P(\bar{A}) = 5 : 3$,then $P(\bar{A}) = $ ........

Total number of outcomes in the experiment of throwing a balanced die twice is ..........

$A$ lot consists of $48$ mobile phones of which $42$ are good,$3$ have only minor defects,and $3$ have major defects. Varnika will buy a phone if it is good,but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is
$(i)$ acceptable to Varnika?
$(ii)$ acceptable to the trader?

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is $2$.

In a game,the entry fee is $Rs. 5$. The game consists of tossing a coin $3$ times. If one or two heads show,Sweta gets her entry fee back. If she throws $3$ heads,she receives double the entry fee. Otherwise,she will lose. For tossing a coin three times,find the probability that she:
$(i)$ loses the entry fee.
$(ii)$ gets double the entry fee.
$(iii)$ just gets her entry fee back.

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.