The probability of a month of February having $5$ Mondays in a leap year is ............

In an oratory competition,$30$ students participated,out of which $12$ are boys. Find the probability that the first prize is won by a girl.

Two dice are thrown simultaneously $500$ times. Each time the sum of two numbers appearing on their tops is noted and recorded as given in the following table:

Sum	Frequency
$2$	$14$
$3$	$30$
$4$	$42$
$5$	$55$
$6$	$72$
$7$	$75$
$8$	$70$
$9$	$53$
$10$	$46$
$11$	$28$
$12$	$15$

If the dice are thrown once more,what is the probability of getting a sum $3\,?$

The minimum value of the probability of any event is ...........

Bulbs are packed in cartons,each containing $40$ bulbs. Seven hundred cartons were examined for defective bulbs,and the results are given in the following table:

Number of defective bulbs	$0$	$1$	$2$	$3$	$4$	$5$	$6$	more than $6$
Frequency	$400$	$180$	$48$	$41$	$18$	$8$	$3$	$2$

One carton was selected at random. What is the probability that it has less than $4$ defective bulbs?

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 not more than $5$ defective parts.