Probability Model

Definition of Probability Model

A probability model is any mathematical representation of a random phenomenon. It comprises of a sample space, events and the probabilities of the each event.

Sample Space

A sample space is the set of all possible outcomes. For instances if we are to roll a dice ,there are a total of 6 sides namely 1,2,3,4,5 and 6. Therefore, the sample space for a dice would be S={1,2,3,4,5,6}. Additionally, if we have 5 T-shirts with different colors in a basket one yellow, one red, one green, one blue and one violet.. The sample space S= {yellow, red, green, blue, violet}.


An event in probability and statistics is a subset of a given sample size. For instance, if there are 5 marbles in a box; 3 yellow and 2 green. If one is to pick 3 balls randomly, the event that they will pick 2 yellow ones can be expressed in 3 sets of comes

A= {(yellow, yellow, green), (yellow, green, yellow), (green, yellow, yellow)}.

The sample space (all possible outcomes) on the other hand will be

S={(yellow, yellow, green), (yellow, green, yellow), (green, yellow, yellow),(yellow,yellow,yellow),(green,green,yellow),(green,yellow,green),(yellow,green,green)}

What is Probability in a probability Model?

It is a numeric value which quantifies the likelihood that a given event will occur. The probability of any event, say A, is written as P (A).

The probability of any event is usually calculated as shown below

probability model example

Basic Rules of Probability

  1. The probability of any event is between 0 and 1 such that 0 ≤ P (A) ≥ 1.
  2. The probability of any sample space is 1, i.e. P(S) = 1.For instance in the case of a dice, there are 6 sides hence the sample space will be S= {1, 2, 3, 4, 5, 6}.each with a probability of  1/6 hence the total probability will be (1/6)*6=1
  3. If two events, say A and B are disjoint, then the probability of the two events will be calculated P (A or B) = P (A) +P (B).Disjoint events are events which do not have common items.
  4. The probability that any event will not occur is P (Ac) = 1-P (A).

Probability and Statistics Homework Help

Contact us for further help with your probability statistics homework help, we have professional statisticians who are ready 24/7. We deliver 100% original work without plagiarism.

Order a unique copy of this paper
(550 words)

Approximate price: $22

Our Features
  • 24/7 support
  • Free title page
  • Free references
  • Free revisions
  • Plagiarism-free
  • Money-back guarantee
You can Request
  • Samples
  • Section-by-section delivery
  • Urgent Order delivery
  • Night delivery
  • Attach all sources
  • Advanced Writer
Format(Applicable to Pages)
  • 1 page =275 words
  • Double/Single line spacing
  • 12 pt
  • Any format method(APA, MLA, Harvard)

Online Stats Helper Guarantees

We provide accurate statistics homework help, our writers are keen on instructions and ensure that the submitted task is correct.
Customer’s satisfaction is our ultimate goal; we deliver quality work and meet the deadline.

Money-back guarantee

Over 98% of our customers get satisfied with our work; however, if a customer is not pleased, we guarantee up to a 100% refund.

No-plagiarism guarantee

We provide 100% original work. Our writers take your instructions and write from scratch. We have plagiarism check tools that our editors use to confirm that the work is custom before forwarding it to you.

Free Revision

We work with our customers until they are delighted. You are allowed to suggest changes where you think the adjustments will make your work better. The revision service is free.

Privacy policy

All your information is safe; we keep your details and work according to international data protection laws. Our payment system is secure, and therefore your banking details are safe.

Pay someone an affordable price to do my statistics homework

We are very affordable. If you are not able to estimate the price, you can get a price quote by uploading it on the site or chat with us. We will assess it and get back shortly with the price quote.

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages