Answer:

Step-by-step explanation:
Let M denote the event that the stock makes money and D denote the event that the stock pays dividends.
It is given that 
Observe that the two events M and D are not independent because if the stock doesn't make money then it will not pay dividends. Therefore the event
(D given M does not occur) is a null event, i.e
It is also given that,

Recall that : 
Here, we are required to find 

Answer:
10
Step-by-step explanation:
I first took away 60 from 195, as she already had 60 points. Than we were left with 135 points and since she gets 13.5 points every time she visits, I divided 135 by 13, which gives us 10.
This is a geometric sequence with first term 1 and common ratio -1/2. r=-1/2.
a(n) = a(1)*(r)^(n-1).
Check: If n=2 our formula must return -1/2. Does it?
a(2) = 1(-1/2)^(2-1) = (-1/2)^1 = - 1/2. Yes.
a(3) should be 1/4. Is it? a(3) = (-1/2)^(3-1) = 1/4 Yes.
Then a(8) = (-1/2)^(8-1) = (-1/2)^7 = -1 / 2^7 = -1/128 (answer)