Two numbers are chosen at random from $\{1, 2, 3, 4, 5, 6, 7, 8\}$ at a time. The probability that the smaller of the two numbers is less than $4$ is

Two numbers are selected at random from $1, 2, 3, \dots, 100$ and are multiplied. The probability,correct to two decimal places,that the product thus obtained is divisible by $3$ is:

Two tickets are drawn at random from tickets numbered $1$ to $20$. The probability that the numbers on both tickets are prime numbers is ..........

Out of $30$ consecutive numbers,$2$ are chosen at random. The probability that their sum is odd,is

There are four machines and it is known that exactly two of them are faulty. They are tested,one by one,in a random order until both the faulty machines are identified. Then the probability that only two tests are needed is

$A$ box contains $25$ tickets numbered $1, 2, \dots, 25$. If two tickets are drawn at random,then the probability that the product of their numbers is even is: