question 2 a dodecahedron is a regular polyhedron with 12 pentagonal f
A dodecahedron is a regular polyhedron with 12 pentagonal faces. It is one of the 5 possible
3-dimensional shapes where every face is the same and every corner looks the same, known
as a Platonic solid. The other Platonic Solids are 4 sided (tetrahedron), 6 sided (cube), 8
sided (octahedron) and 20 sided (icosahedron).
A dice was made from a dodecahedron, and the faces were numbered 1 to 12. This dice was
rolled once. We call the number from a 12-sided dice a "d12".
(a) Calculate the mean and variance of the d12.
A game involves a board with a series of numbered squares (Numbers 1 to 200), and
players take turns rolling a 12-sided die and moving their game piece forward along
the squares based on the number rolled. For example, if a player rolls a 4, they move
their piece forward 4 squares. In other words, this is a snake and ladder game without
any complicated rules such as the snakes and ladders.
Calculate the average number of d12 rolls needed to reach the 200th square.
We decided to change the rules of the game. Now, instead of d12, we will roll the d12
twice, and pick the larger number. For example,
if we rolled 1 and 6, 6 will be selected.
if we rolled 12 and 2, 12 will be selected.
If we rolled 1 and 1, then 1 will be selected.
Compute the probability of obtaining each of the numbers from 1 to 12 by filling up
6 7 8 9 10
What is the average number of rolls needed to reach the 200th square under this
*The amount will be in form of wallet points that you can redeem to pay upto 10% of the price for any assignment. **Use of solution provided by us for unfair practice like cheating will result in action from our end which may include permanent termination of the defaulter’s account.Disclaimer:The website contains certain images which are not owned by the company/ website. Such images are used for indicative purposes only and is a third-party content. All credits go to its rightful owner including its copyright owner. It is also clarified that the use of any photograph on the website including the use of any photograph of any educational institute/ university is not intended to suggest any association, relationship, or sponsorship whatsoever between the company and the said educational institute/ university. Any such use is for representative purposes only and all intellectual property rights belong to the respective owners.