Out of $30$ days, the forecast predicted by the weather department proved to be true on $20$ days. If one day is chosen at random from these $30$ days, what is the probability that the forecast proved to be false?

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 no defective bulb?

Out of $700$ women in an area,$280$ are employed. Find the probability that a randomly selected woman from those women is employed.

Following is the information about vehicles passing in front of a city temple in one hour:

Vehicle type	Two-wheelers	Three-wheelers	Four-wheelers
Frequency	$90$	$35$	$25$

Find the probability that the vehicle passing through the temple is a two-wheeler.

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 more than $13$ defective parts.

As the number of tosses of a coin increases,the ratio of the number of heads to the total number of tosses will be $\frac{1}{2}$. Is it correct? If not,write the correct one.