Answer:
(D)E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.
Step-by-step explanation:
The table of the probability of rolling the sums is presented below.
![\left\begin{array}{ccccccccccccc}$Roll&2&3&4&5&6&7&8&9&10&11&12\\\\$Prob&\frac{1}{36}&\frac{2}{36}&\frac{3}{36}&\frac{4}{36}&\frac{5}{36}&\frac{6}{36}&\frac{5}{36}&\frac{4}{36}&\frac{3}{36}&\frac{2}{36}&\frac{1}{36} \end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccccccccccccc%7D%24Roll%262%263%264%265%266%267%268%269%2610%2611%2612%5C%5C%5C%5C%24Prob%26%5Cfrac%7B1%7D%7B36%7D%26%5Cfrac%7B2%7D%7B36%7D%26%5Cfrac%7B3%7D%7B36%7D%26%5Cfrac%7B4%7D%7B36%7D%26%5Cfrac%7B5%7D%7B36%7D%26%5Cfrac%7B6%7D%7B36%7D%26%5Cfrac%7B5%7D%7B36%7D%26%5Cfrac%7B4%7D%7B36%7D%26%5Cfrac%7B3%7D%7B36%7D%26%5Cfrac%7B2%7D%7B36%7D%26%5Cfrac%7B1%7D%7B36%7D%20%5Cend%7Barray%7D%5Cright)
P(an even sum)
![=\frac{1}{36}+\frac{3}{36}+\frac{5}{36}+\frac{5}{36}+\frac{3}{36}+\frac{1}{36} \\\\=\frac{18}{36}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B36%7D%2B%5Cfrac%7B3%7D%7B36%7D%2B%5Cfrac%7B5%7D%7B36%7D%2B%5Cfrac%7B5%7D%7B36%7D%2B%5Cfrac%7B3%7D%7B36%7D%2B%5Cfrac%7B1%7D%7B36%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B18%7D%7B36%7D)
Therefore, P(an odd sum) ![=\frac{18}{36}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B18%7D%7B36%7D)
Therefore, E(evens) = E(odds) because the different probabilities and values end up balancing out, creating a fair game. Therefore, Jessica may choose whichever she likes.
Answer:
84 yards squared
Step-by-step explanation:
Use the formula- A= 1/2(b1 +b2)h
So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)
Hey there!
3 + 67 = 70,
so your answer will be:
x = 3
Hope this helps!
Have a great day (:
Answer: C. (2, -4)
Step-by-step explanation:
Take into consideration that y is less than or equal to -2. The only option in which the y value is less than or equal to -2 is option C., thus C would correctly solve the system of inequalities.