A box contains $75$ tickets numbered $1$ to $75$. A ticket is drawn at random from the box. Find the probability that the number on the ticket is divisible by $6$. 

 A box contains $75$ tickets numbered $1$ to $75$. A ticket is drawn at random from the box. Find the probability that a number on the ticket is a perfect square. 

 A box contains $75$ tickets numbered $1$ to $75$. A ticket is drawn at random from the box. Find the probability that the number on the ticket is prime. 

A box contains $75$ tickets numbered $1$ to $75$. A ticket is drawn at random from the box. Find the probability that the number on the ticket is divisible by $3$ and $5$.

 What is the chance that a leap year, selected at random, will contain 53 Sundays?. (Write the answer as a fraction in simplest form)

Find the probability of getting both red balls, when from a bag containing $5$ red and $4$ black balls, two balls are drawn with replacement. (Write the answer as a fraction in simplest form)

Find the probability of getting both red balls, when from a bag containing $5$ red and $4$ black balls, two balls are drawn without replacement.

A room has three sockets for lamps. From a collection $10$ bulbs of which $6$ are defective. At night a person selects $3$ bulbs, at random and puts them in sockets. What is the probability that room is still dark. (Write the answer as a fraction in simplest form)

A room has three sockets for lamps. From a collection $10$ bulbs, $6$ are defective. At night a person selects $3$ bulbs, at random and puts them in sockets. What is the probability that the room is lit.