Answer:
is the probability she first wins of the sixth ticket.
Step-by-step explanation:
We are given the following information:
We treat winning lottery as a success.
P(Success) = P(Winning) = 35% = 0.35
Thus, we can write
P(Failure) = P(Loosing the lottery) = 0.65
We have to find the probability she first wins of the sixth ticket.
That is we can write she want the success to occur at 6 position after 5 failures.
Let x be the random variable for the first win.
Then, X follows a geometric distribution and probability is given by:
where p is the probability of success and k is the failures that occur before the first success.
Thus, we can write
Thus, 0.04 is the probability she first wins of the sixth ticket.
None of the given option gives the right probability.