Videocon Electronics has launched two new mobile hand sets: Set $\mathrm{I}$ and Set $\mathrm{II}$. Set $\mathrm{I}$ is cheaper as compared to Set $\mathrm{II}$. But Set $\mathrm{II}$ has a built-in device to recharge the battery with the auto-cut power supply when it is fully charged. In a lot, there are $250$ pieces of Set $\mathrm{I}$ and $100$ pieces of Set $\mathrm{II}$. If a mobile is picked at random, then find the probability of getting Set $\mathrm{I}$. (Write answer in the form of $\frac{a}{b}$ in the simplest form)

A box contains $3$ blue, $2$ white and $4$ red marbles. If a marble is drawn at random from the box, what is the probability that will be a

White

One card is drawn from a well-shuffled deck of $52$ cards. Calculate the probability, that the card will be an ace

A box contains $3$ blue, $2$ white and $4$ red marbles. If a marble is drawn at random from the box, what is the probability that will be a

Red

One card is drawn from a well-shuffled deck of $52$ cards. Calculate the probability, that the card will not be an ace

Identify the diagram that best represents the relationship among the given classes.

Male, Father, Doctor

A box contains $3$ blue, $2$ white and $4$ red marbles. If a marble is drawn at random from the box, what is the probability that will be a

Blue

In the given Venn diagram, 'Group A' represents those who can speak 'English', 'Group B' represents those who can speak 'Hindi', and 'Group C' represents those who can speak 'Marathi'. The numbers given in the diagram represent the number of persons in that particular category.

How many persons can speak exactly two languages?

Select the Venn diagram that best illustrates the relationship between the following classes.

Infant, Fathers, Males

An integer is chosen at random between $1 \text{and} 100$. Find the probability that it is divisible by $8$.