In a game of monopoly, a player cannot start until she throws a "double" with a set of two six-sided dice, i.e. both dice must show the same number (from 1 to 6) uppermost when tossed.
a) State the form of the probability distribution of
, the number of unsuccessful turns a player has before she manages to throw a "double".
--> This is the answer to the function but I'm confused about why:
Is the exponent
only at the probability for unsuccessful rolls because there should never be more than one roll of success?
b) Find
If X is for the number of unsuccessful turns made before a success, how do you calculate a "greater than or equal to" value if no total number of trials is given?
c) Find