From a pack of $52$ cards,two are drawn with replacement. The probability that the first is a diamond and the second is a king is:

An urn contains $10$ black and $5$ white balls. Two balls are drawn from the urn one after the other without replacement. What is the probability that both drawn balls are black?

In a box of $10$ electric bulbs,two are defective. Two bulbs are selected at random one after the other from the box. The first bulb after selection is put back in the box before making the second selection. The probability that both the bulbs are without defect is

$A$ bag $X$ contains $2$ white and $3$ black balls and another bag $Y$ contains $4$ white and $2$ black balls. One bag is selected at random and a ball is drawn from it. Then,the probability for the ball chosen to be white is:

In a classroom, $5 \%$ of the boys and $2 \%$ of the girls are taller than $1.6 \ m$. The class consists of $60 \%$ girl students. The probability that a randomly selected student is taller than $1.6 \ m$ is:

From a pack of $52$ cards,two cards are drawn in succession one by one without replacement. The probability that both are aces is