In a single throw of $2$ dice, what is the probability of a doublet?

$A$ bag contains $4$ white and $3$ red balls. Two draws of one ball each are made without replacement. Then the probability that both the balls are red is (in $/7$)

An urn contains $6$ blue,$4$ red,$3$ green,and $2$ yellow marbles. If three marbles are picked at random,what is the probability that $2$ are red and $1$ is green?

$A$ box contains $2$ black,$4$ white,and $3$ red balls. One ball is drawn at random from the box and kept aside. From the remaining balls in the box,another ball is drawn at random and kept aside the first. This process is repeated until all the balls are drawn from the box. The probability that the balls drawn are in the sequence of $2$ black,$4$ white,and $3$ red is

Let $0 < P(A) < 1$,$0 < P(B) < 1$ and $P(A \cup B) = P(A) + P(B) - P(A)P(B).$ Then

Three identical dice are rolled. The probability that the same number will appear on each of them is: