Answer:
2.0%
Step-by-step explanation:
The probability of two events happening in the sequence is calculated by multiplying the probability of each event happening separately by one another. Since there are a total of 7 letters in this word then the probability of choosing one letter correctly is
. Since the first letter is replaced before choosing the second letter the probability remains the same. Therefore, the sequence would be the following...
= 0.020164 or 2.0%
This is an independent scenario because it does not depend on any external factors and under these circumstances the percentage will remain the same.
Option B: 1088 is the next term in the geometric sequence.
Explanation:
The sequence is 
We need to determine the next term.
To determine the next term, let us find the common ratio between the terms.


Thus, the common ratio is 
And the given sequence is a geometric sequence.
To determine the next term in a geometric sequence, we always multiply the common ratio to the current term.
Hence, the current term is 272 and the common ratio is 4.
Next term = Current term × Common ratio


Thus, the next term of the geometric sequence is 1088
Therefore, Option B is the correct answer.
To find the answer you plug 3 in
(1/9)(9^3)
(1/9)(729)
81