Two unbiased dice are thrown. Then the probability that neither a doublet nor a total of $10$ will appear is

The probability of obtaining an even prime number on each die when a pair of dice is rolled is

$A$ man and his wife appear for an interview for two posts. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's selection is $\frac{1}{5}$. If they appear for the interview independently,then the probability that only one of them is selected is:

Three boxes contain respectively $3$ white and $1$ black,$2$ white and $2$ black,$1$ white and $3$ black balls. From each of the boxes,one ball is drawn at random. The probability that $2$ white and $1$ black balls will be drawn is:

Two dice are tossed once. The probability of getting an even number on the first die or a total of $8$ is

Two dice are thrown together. The probability that the sum of the numbers is divisible by $2$ or $3$ is