Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have 
and 
, because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of 
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
Zero pair is a pair of numbers whose sum is zero, used to illustrate addition and subtraction problems... with positive and negative integers.
e.g. +1 -1
I hope that this helps
:)
Answer:
The slope is -2/3.
Step-by-step explanation
Let m represent the slope.
m= rise/run= y2-y1/x2-x1
-1 - (-3)/0-3
2/-3
-2/3
Answer:
288
Step-by-step explanation:
The volume of the cube is 0.5^3 = 0.125, and the volume of the rectangular prism is 4*3*3 = 36.
Now, you just divide 36 by 0.125, which is 288.
I hope this helped.
Answer:
Step-by-step explanation:
g(x)=3(10-x)^2-8
=3(12)^2-8
=144*3-8
=432-8
=424
