Counting principle in probability theory

Assignment Help Mathematics
Reference no: EM13125953

A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.

a) Use the counting principle to determine the number of points in the sample space.

b) Describe how a tree diagram would represent this situation.

c) List the sample space.

d) Determine the exact probability of creating a mini license plate with a 7. Give solution exactly in reduced fraction form.

Reference no: EM13125953

Questions Cloud

The psychological and physiological causes, effects : The psychological and physiological causes, effects and treatments of phantom limb pain
Explain what is meant by molality of a solution : Description of Chemistry - Other, What is meant by Molality of a solution and Solute particles? Define. How many solute particles are there in 1m solution containing these substances in one kg of water?
Number of ways of getting marbles : A bag contains three red marbles, three green ones, one lavender one, two yellows, and four orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Probability that exactly one vehicle needs warranty service : Jones Nissan in Sumter, South Carolina, sold 10 Nissans yesterday. What is the probability that exactly 1 vehicles require warranty service?
Counting principle in probability theory : A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
Define concentration - dilution problem : Concentration : Dilution Problem, A student placed 18.5g of glucose (C6H12O6) in a volumetric flask, added enough water to dissolve the glucose by swirling, then carefully added additional water until the 100.-mL mark on the neck of the flask was ..
Determine five costs listed in terms of their behavior : Determine the five costs listed in the terms of their behavior: variable, step-variable, committed fixed, discretionary fixed, step-fixed, or semi variable. Show calculations to support your answers for mining labor/fringe benefits and royalties.
Define comparing heat capacity of bricks and water : Thermochemistry : Comparing Heat Capacity of Bricks and Water, A house is designed to have passive solar energy features. Brickwork incorporated into the interior of the house acts as a heat absorber. Each brick weighs approximately 1.8 kg
Could a company lose to a competitor : Could a company lose to a competitor if they do not have real time online perpetual inventory records to provide answers to customers that are trying to place an order?

Reviews

Write a Review

Mathematics Questions & Answers

  Find the predictive value of a positive test

Find the predictive value of a positive test.

  Find what is the probability it would be a student

What is the probability it would be a student, a faculty member, an admin staff member, a faculty or admin staff member and anyone except an admin staff member?

  Find the p value

Find the p value and at 0.07 level of significance, test above hypothesis.

  Maximizing the sustainable yield

Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.

  Correlation between competence scores and internal scores

Correlation between competence Scores and Internal Scores

  What is the prior probabilty that she will complete

What is the prior probabilty that she will complete the degree, Given that she scores 575 on the GMAT test, what is posterior probability that she will complete her MBA

  Evaluate the dimensions of a rectangle

Finding the dimensions of a rectangle using second derivative test - Find length and width should the rectangle have so that its area is a maximum?

  Explain clarification of mathematics

How many different 6-letter code words can be formed from the first 8 letters of the alphabet if adjacent letters must be different?

  Previously proven logical equivalencies

The truth table and previously proven logical equivalencies

  Continuous functions and open intervals

Assume f is continuous on the interval (a,b) that contains x0 and f(x0)>0. Show there is an open interval J that contains x0 and m>0 such that f(x)>=m for each x in J.

  Find the z score for a test score of 200

Find the Z score for a test score of 200

  Methods of solving system of equations

Describe and give examples of the three methods for solving a system of equations.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd