$A$ deck consists of $4$ Aces,$4$ Kings,$4$ Queens,and $4$ Jacks. If $2$ cards are drawn at random from this deck of $16$ cards,what is the probability that at least one card is an Ace?

$A$ 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

Let $S$ be the set of all the words that can be formed by arranging all the letters of the word $\text{GARDEN}$. From the set $S$,one word is selected at random. The probability that the selected word will $\text{NOT}$ have vowels in alphabetical order is:

An urn contains $6$ yellow balls and $x$ black balls. When two balls are drawn at random,the probability that both are yellow is $\frac{5}{26}$,then the value of $x$ is

Out of $30$ consecutive numbers,$2$ are chosen at random. The probability that their sum is odd,is

$3$ bulbs are drawn at random from a lot of $50$ bulbs,$5$ of which are defective. Find the probability of the event that all $3$ bulbs are non-defective (drawn without replacement).