Probability question

adidasman · #1 $Old$ June 25th, 2008, 02:21 PM

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?

Moo · #2 $Old$ June 25th, 2008, 02:26 PM

Hello,

Quote:

Originally Posted by adidasman $View Post$

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?

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

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

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

Do you understand ?