$A$ pack of cards contains $4$ aces,$4$ kings,$4$ queens,and $4$ jacks. Two cards are drawn at random. The probability that at least one of these is an ace is:

There are $3$ urns $A, B$,and $C$. Urn $A$ contains $4$ red balls and $3$ black balls. Urn $B$ contains $5$ red balls and $4$ black balls. Urn $C$ contains $4$ red balls and $4$ black balls. One ball is drawn from each of these urns. What is the probability that the $3$ balls drawn consist of $2$ red balls and $1$ black ball?

$A$ box contains $10$ mangoes,out of which $4$ are rotten. $2$ mangoes are taken out together. If one of them is found to be good,the probability that the other is also good is

One bag contains $4$ white balls and $2$ black balls; another contains $3$ white balls and $5$ black balls. If one ball is drawn from each bag,find the probability that both are white.

$A$ card is drawn from a well-shuffled deck of $52$ cards. Find the probability of drawing a face card.

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