In a single throw of $2$ dice,what is the probability of getting a total of $7$?

Find the probability that in a random arrangement of the letters of the word $DAUGHTER$,the letter $D$ occupies the first place.

$A$ card is drawn randomly from a pack of playing cards. The probability that it is neither an ace nor a king is:

One ticket is drawn at random out of $30$ tickets numbered from $1$ to $30.$ Find the probability that the number on the ticket is a multiple of $5$ or $7.$

The probability that $A$ speaks the truth is $\frac{4}{5}$,while this probability for $B$ is $\frac{3}{4}$. Find the probability that they contradict each other when asked to speak on a fact.

Four boys and three girls stand in a queue for an interview. What is the probability that they will stand in alternate positions?