V Anand and Gary Kasparov play a series of $5$ chess games. The probability that V Anand wins a game is $\frac{2}{5}$ and the probability of Kasparov winning a game is $\frac{3}{5}$. There is no probability of a draw. The series will be won by the person who wins $3$ matches. Find the probability that Anand wins the series. (The series ends the moment when any of the two wins $3$ matches.)

If a card is picked up at random from a pack of $52$cards. Find the probability that it is

a spade.

If a card is picked up at random from a pack of $52$cards. Find the probability that it is

a king or queen.

Two fair dice are thrown. Find the probability of getting

a prime number less than $8$.

A bag contains $3$green and $7$ white balls. Two balls are drawn from the bag in succession without replacement. What is the probability that 

both are white?