When we roll one die, we have a 1 in 6 probability of getting any particular...

80.2K

Verified Solution

Question

Advance Math

When we roll one die, we have a 1 in 6 probability ofgetting any particular number on the die.Â Â When we rollboth dice, there are 36 different permutations of total pairs thatcan be produced, yet only 11 actual distinct values.

Explain how the probability associated with the roll ofeach individual die in the pair explains the higher variability inthe total outcome of the roll of each pair. Discuss how thisaffects what you think about when we discuss the notion ofdegree of freedom.

Answer & Explanation Solved by verified expert

3.8 Ratings (635 Votes)

A standard die has six sides printed with little dots numbering 1 2 3 4 5 and 6 If the die is fair and we will assume that all of them are then each of these outcomes is equally likely Since there are six possible outcomes the probability of obtaining any side of the die is 16 The probability of rolling a 1 is 16 the probability of rolling a 2 is 16 and so on But what happens if we add another die What are the probabilities for rolling two dice To correctly determine the probability of a dice roll we need to know two things The size of the sample space or the set of total possible outcomes How often an event occurs In probability an event is a certain subset of the sample space For example when only one die is rolled as See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member