Two unbiased dice are thrown once. Write all the possible outcomes of this experiment. What is the probability that the sum of numbers on two dice is smaller than $2$?

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability that the card drawn is that of diamonds.

Sushma tosses a coin $3$ times and gets tail each time. Do you think that the outcome of next toss will be a tail? Give reasons.

$A$ card is selected at random from a well-shuffled pack of $52$ cards. Find the probability that the selected card is that of spades.

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

At a fete, cards bearing numbers $1$ to $1000$, one number on one card, are put in a box. Each player selects one card at random and that card is not replaced. If the selected card has a perfect square greater than $500$, the player wins a prize. What is the probability that:
$(i)$ the first player wins a prize?
$(ii)$ the second player wins a prize, if the first has won?