Expected value (50 points) game: roll two dice. win a prize based on the sum of the dice. cost of playing the game: $1 prizes: win $10 if your sum is odd. win $5 if you roll a sum of 4 or 8. win $50 if you roll a sum of 2 or 12. explain how to find the expected value of playing this game. what is the expected value of playing this game? show your work. (30 points)

a c

step-by-step explanation:

noncoplanar points are points that do not lie on the same line.

you first to choose the points and then move from then as the slope you have

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.