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?

Three coins are tossed simultaneously $500$ times with the following frequencies of different outcomes:

Number of heads	$0$	$1$	$2$	$3$
Frequency	$70$	$190$	$175$	$65$

Find the probability of getting $0, 1, 2$ or $3$ heads.
Verify that the sum of all these probabilities is $1$.

The probability of a certain event is ........

At a fair, $70$ boys, $80$ girls, $20$ men, and $30$ women have come. Find the probability that a person selected at random to be a prize winner is a woman.

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

An insurance company selected $1600$ drivers at random in a particular city to find a relationship between age and accidents. The data is as below:

Age group of drivers	Number of accidents in one year $(0, 1, 2, 3, >3)$
$18-25$	$320, 125, 75, 45, 30$
$25-40$	$400, 45, 50, 15, 10$
$40-55$	$150, 85, 13, 8, 10$
Above $55$	$150, 25, 17, 20, 7$

Find the probability of the following event for a driver selected at random from the city: being $25-40$ years of age and having exactly $2$ accidents in a year.