The range of a random variable $$X$$ is $$\{1,2,3, \ldots\}$$ and $$P(X=x)=\frac{C^x}{x !}$$. for $$x=1,2,3$$, ... Then, the value of $$C$$ is

Tom and Jerry play a game of alternately throwing an unfair coin. First one to get head wins. If Tom starts the game, he has 62.5% chance of winning the game. Suppose this coin is tossed 5 times, then the probability of getting exactly 3 head is

One card is selected at random from 27 cards numbered form 1 to 27. What is the probability that the number on the card is even or divisible by 5.

Nine balls one drawn simultaneously from a bag containing 5 white and 7 black balls. The probability of drawing 3 white and 6 black balls is