The probability of the event 'the sun rises in the east' is .............

$A$ company selected $4000$ households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information obtained is listed in the following table:

Monthly income (in Rs)	$0$ Television	$1$ Television	$2$ Televisions	Above $2$ Televisions
$< 10000$	$20$	$80$	$10$	$0$
$10000-14999$	$10$	$240$	$60$	$0$
$15000-19999$	$0$	$380$	$120$	$30$
$20000-24999$	$0$	$520$	$370$	$80$
$25000$ and above	$0$	$1100$	$760$	$220$

Find the probability of a household earning $Rs. 10000 - 14999$ per month and having exactly one television.

$50$ families with $2$ children were selected randomly and the following data were recorded:

Number of girls in a family	$0$	$1$	$2$
Number of families	$10$	$32$	$8$

If a family is chosen at random,compute the probability that it has: $(1)$ two girls,$(2)$ one girl,$(3)$ no girl.

Over the past $200$ working days,the number of defective parts produced by a machine is given in the following table:

Number of defective parts	$0$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$	$12$	$13$
Days	$50$	$32$	$22$	$18$	$12$	$12$	$10$	$10$	$10$	$8$	$6$	$6$	$2$	$2$

Determine the probability that tomorrow's output will have at least one defective part.

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. The probability of that card being a card of red suit is ..........

State whether each of the following statements is true or false:
$(1)$ The probability that the month of February in a leap year has $5$ Saturdays is $0$.
$(2)$ The probability of getting $51$ marks in a $100$ marks examination is $\frac{1}{101}$.