If i have a probability of .159 times something occurs. And I want to see the probability of that happening 4 times in a row. How would I do that?

Printable View

- Jun 25th 2008, 12:21 PMadidasmanProbability question
If i have a probability of .159 times something occurs. And I want to see the probability of that happening 4 times in a row. How would I do that?

- Jun 25th 2008, 12:26 PMMoo
Hello,

Consider $\displaystyle A_n$ the event that this happens the $\displaystyle n^{\text{th}}$ time.

You want $\displaystyle P(A_1 \cap A_2 \cap A_3 \cap A_4)$. If the events are__independent__(that is to say that the probability of happening stays still, even if it already happened), this equals to :

$\displaystyle P(A_1) \cdot P(A_2) \cdot P(A_3) \cdot P(A_4)=(0.159)^4$

Do you understand ? :)