QUESTION A
The probability of an event is calculated using the formula:
![P(E)=\frac{Number\text{ }of\text{ }favorable\text{ }outcomes}{Number\text{ }of\text{ }possible\text{ }outcomes}](https://tex.z-dn.net/?f=P%28E%29%3D%5Cfrac%7BNumber%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dfavorable%5Ctext%7B%20%7Doutcomes%7D%7BNumber%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dpossible%5Ctext%7B%20%7Doutcomes%7D)
There are 4 nines in a standard deck of cards. Therefore, there are 48 cards that are not nines.
Since there are 52 cards, the probability is calculated to be:
![\begin{gathered} P=\frac{48}{52} \\ P=\frac{12}{13} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D%5Cfrac%7B48%7D%7B52%7D%20%5C%5C%20P%3D%5Cfrac%7B12%7D%7B13%7D%20%5Cend%7Bgathered%7D)
The probability is 12/13.
QUESTION B
Odds in favor of a particular event are given by the number of favorable outcomes to the number of unfavorable outcomes. The formula is written out to be:
![P(E)=\frac{Number\text{ }of\text{ }favorable\text{ }outcomes}{Number\text{ }of\text{ }unfavorable\text{ }outcomes}](https://tex.z-dn.net/?f=P%28E%29%3D%5Cfrac%7BNumber%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dfavorable%5Ctext%7B%20%7Doutcomes%7D%7BNumber%5Ctext%7B%20%7Dof%5Ctext%7B%20%7Dunfavorable%5Ctext%7B%20%7Doutcomes%7D)
Since we have that the number of favorable outcomes is 48 and the number of unfavorable outcomes is 4, we have that the odds in favor are given to be:
![P=\frac{48}{4}=\frac{12}{1}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B48%7D%7B4%7D%3D%5Cfrac%7B12%7D%7B1%7D)
The odds are 12 to 1.
Answer:
2nd one on the top row
last one on the bottom row
(left to right)
Step-by-step explanation:
the negative slopes are the lines that go down towards the right side
so that would be the second one on the top row and the last one on the bottow row
Answer:
$22.50
Step-by-step explanation:
First, you subtract 30 from 300 which is 270, then you divide 270 by 12 because there is 12 months in a year, and then you get 22.50 per month.
Answer: XY - Z
The value of Z cannot be larger than XY.
For instance, if he went shopping with XY = 25 dollars and spent Z = 9 dollars, then he's left with XY-Z = 25-9 = 16 dollars.