$A$ balanced die is thrown once. Find the probability of getting a number smaller than $4$.

Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than $9$.

All the jacks,queens,and kings are removed from a deck of $52$ playing cards. The remaining cards are well shuffled,and then one card is drawn at random. Giving ace a value of $1$ and similar values for other cards,find the probability that the card has a value:
$(i)$ $7$
$(ii)$ greater than $7$
$(iii)$ less than $7$

Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is
$(i)$ $7 ?$
$(ii)$ a prime number?
$(iii)$ $1 ?$

$A$ bag contains slips numbered from $1$ to $100$. If Fatima chooses a slip at random from the bag,it will either be an odd number or an even number. Since this situation has only two possible outcomes,the probability of each is $\frac{1}{2}$. Justify.

If $P(\bar{B}) = 0.55$,then $P(B) = $ ...........