PLEASE ANSWER BOTH OF THESE QUESTIONS HONESTLY, IM GIVING OUT BRAINLIEST AND 50 POINTS TO WHOEVER GETS THEM BOTH CORRECT! :D
2 answers:
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Answer:
Step-by-step explanation:
Given:
Txo six-sided dice are rolled.
Total number of outcomes n(S) = 36
We need to find the probability that the sum is not equal to 5 p(Not 5).
Solution:
Using probability formula.
----------------(1)
Where:
n(E) is the number of outcomes favourable to E.
n(S) is the total number of equally likely outcomes.
The sum of two six-sided dice roll outcome is equal to 5 as.
Outcome as 5: {(1,4), (2,3), (3,2), (4,1)}
So, the total favourable events n(E) = 4
Now, we substitute n(E) and n(s) in equation 1.
Using formula.
Now we substitute p(5) in above equation.
Therefore, the sum of two six-sided dice roll outcome is not equal to 5.
Check the forward differences:
-1 - 1 = -2
-7 - (-1) = -6
-25 - (-7) = -18
Notice how the differences appear to follow a geometric progression with common ratio 3. So if denotes the
th term in the given sequence, we seem to have
so that the general pattern for would be
Then the sequence is given recursively by
The first 10 terms in the sequence would be
1, -1, -7, -25, -79, -241, -727, -2185, -6559, -19681