Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of hearts.

$A$ $5$-digit number is formed using the digits $1, 2, 3, 4, 5, 6,$ and $8$. What is the probability that the number has even digits at both ends?

If two numbers are selected at random from $20$ consecutive integers,what is the probability that their sum is odd?

$A$ bag contains $5$ blue and an unknown number $x$ of red balls. Two balls are drawn at random. If the probability of both of them being blue is $\frac{5}{14}$,then the value of $x$ is equal to

If five-digit numbers are formed from the digits $0, 1, 2, 3, 4$ using every digit exactly once,then the probability that a randomly chosen number from those numbers is divisible by $4$ is:

$A$ box contains $8$ red, $3$ white and $9$ blue balls. If $3$ balls are drawn from the box at random one after the other without replacement, then the probability that they are $2$ red balls and $1$ white ball is