A bag contains $6$ white, $7$ red and $5$ black balls. If $3$ balls are drawn from the bag at random, then the probability that all of them are white is

Two numbers are selected at random from $1, 2, 3 ......100$ and are multiplied, then the probability correct to two places of decimals that the product thus obtained is divisible by $3$, is

An ordinary cube has four blank faces, one face marked $2$ another marked $3$. Then the probability of obtaining a total of exactly $12$ in $5$ throws, is

A binary number is made up of $16$ bits. The probability of an incorrect bit appearing is $p$ and the errors in different bits are independent of one another. The probability of forming an incorrect number is

Find the probability that when a hand of $7$ cards is drawn from a well shuffled deck of $52$ cards, it contains all Kings.

In a box there are $2$ red, $3$ black and $4$ white balls. Out of these three balls are drawn together. The probability of these being of same colour is