Two balanced dice are rolled simultaneously. Then,the probability that the numbers on both the dice are prime is ...........

The probability that a non-leap year selected at random will contain $53$ Sundays is

$A$ balanced die is thrown once. Find the probability of getting a prime number.

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?

If $P(A)$ denotes the probability of an event $A$,then

$A$ student says that if you throw a die,it will show up $1$ or not $1$. Therefore,the probability of getting $1$ and the probability of getting 'not $1$' each is equal to $\frac{1}{2}$. Is this correct? Give reasons.