First, start of by saying what the probability of getting a 4 is, which is 1/6.
Now, this means the probability of not getting a 4 is 1-(1/6)=(5/6), since the total probability is 1.
After doing this, you should think about what it means to only get 4 on the last trial, the 4th trial. It means that the probabilities of the 1st, 2nd, and 3rd trial were (5/6) each. The 4th trial had a probability of (1/6). So the probability would be calculated as following: (

=

. You can use a calculator or your computer to find out that the probability is 125/1296.
I hope this was helpful!
Answer:
II and II only.
Step-by-step explanation:
The first series converges because the common ratio r is 0.8 (<1).
II diverges as |r| > 1.
III is an alternating series with r = -4 - that is |r| = 4 so it diverges.
Answer
Find out the value of AM.
To prove
As given
In ABC,
centroid D is on median AM.
AD = x + 5 and DM = 3x – 5.
By using the centroid property
The centroid divides each median in a ratio of 2:1.
Thus D divide the median AM in a ratio of 2:1.
Therefore
(AD) = 2DM
(x + 5) = 6x – 10
5x = 15

x = 3
Now
AM = 3+ 5
= 8 unit
DM = 3 × 3- 5
= 4 unit
AM = AD + DM
= 8 + 4
AM = 12 unit
Therefore the AM is 12 unit.
A. 30% is the correct. .30 is 30%
Answer:
no solution
Step-by-step explanation:
-2x are cancel out with each other