In a lottery $50$ tickets are sold in which $14$ are prize-winning tickets. $A$ man bought $2$ tickets,then the probability that the man wins at least one prize is:

$A$ card is drawn from a pack of $52$ cards. Find the probability of getting a spade,an ace,or a red card.

$A$ bag $A$ contains $2$ white and $3$ red balls and bag $B$ contains $4$ white and $5$ red balls. One ball is drawn at random from a randomly chosen bag and is found to be red. The probability that it was drawn from bag $B$ is:

Three cards are drawn at random from a pack of $52$ cards. What is the chance of drawing three aces?

Two cards are drawn from a pack of $52$ cards. What is the probability that one of them is a queen and the other is an ace?

One bag contains $5$ white and $3$ black balls and a second bag contains $2$ white and $4$ black balls. One ball is drawn from the first bag and placed unseen in the second bag. What is the probability that a ball now drawn from the second bag is black?