Question: Find the probability that the first roll is a 3 if the total of the two rolls is odd. Consider again the three-sided die that

Find the probability that the first roll is a 3 if the total of the two rolls is odd.
Consider again the three-sided die that gives a score of 1 with probability 1/3, a score of 2 with probability 1/3, and a score of 3 with probability 1/3. Two such die are rolled. Use Bayes' theorem to find the following conditional probabilities. Check your result by direct counting.
For Information: (based on Exercise 11)

Step by Step Solution

★★★★★

3.33 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let O be the event odd and F 3 a 3 on the first role By ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

808-M-S-P (7468).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Find the probability that the first child of a family with five children is a boy or that the last two children of the family are girls, for the same conditions as in parts (a), (b), and (c) of...

A die is rolled until a 3 is obtained. Find the probability that the first 3 will be obtained on the fourth roll.

The game of craps is played by rolling two balanced dice. A first roll of a sum of 7 or 11 wins; and a first roll of a sum of 2, 3, or 12 loses. To win with any other first sum, that sum must be...

Find the probability that the first roll is a 3 if the total of the two rolls is greater than or equal to 4 (based on Exercise 9). Consider again the three-sided die that gives a score of 1 with...

please do this in C# in visual studio with the form box and if possible with pictures showing the program appreciate it please follow the guideline Problem: In this lab, you will be using Visual...

In a casino, there is dice game called Craps. In Craps, you as the roller bet some money and throw two dice. If you roll a 7 or 11 on the first roll, you win. If you roll 2, 3, or 12, on the first...

In a casino, there is a dice game called Craps. In Craps, you as the roller bet some money and throw two dice. If you roll a 7 or 11 on the first roll, you win. If you roll 2, 3, or 12, on the first...

#43,46,47,50,51,53,54 Section 5.2 Exercises 355 (a) What probability should replace "?" in the table? Why? (b) Find the probability that the chosen trip did not begin 42. Is this your card? A...

Problem: In this lab, you will be using Visual Studio to implement the classic game of Craps. Craps is a game of numbers and dice. The challenge is that when the user rolls the dice there are two...

Your job is to write a simple program that plays a dice game in C++ Ask the user to enter a seed value. Get a seed value from the user. If the user types a negative number, seed it with the system...

Using Cal Civ Code 1694.7 as a guide, needs to create a Weight Loss Contract. Note the California definition of what is a Weight Loss Contract. The phrase "weight loss contract," as used in Civ....

The company had 10,000 shares of $1 par common stock outstanding. When each share of stock had a market value of $130, the company decided to reduce the price per share of stock to $65 by doubling...

Bill is an accountant for a construction firm. He receives an urgent email at 5 : 3 0 p . m . on Friday that appears to be from his company's chief financial officer. The email is approving a request...

Companies of the world. Refer to the previous exercise. Examine the data for 2002, and compare your results with what you found in the previous exercise. Note that some cases have missing values for...

Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function....

(a) y = x 6 / x + 6 (b) y = x + x2/x 1 (c) y = 10x (d) y = x10 (e) y = 2t6 + t3 (f) y = cos + sin

Match each equation with its graph. Explain your choices. (Dont use a computer or graphing calculator.)

Speculating with Currency Call Options. Bama Corp. has sold British pound call options for speculative purposes. The option premium was $.06 per unit, and the exercise price was $1.58. Bama will...

Question 4 (8 marks) For each of the following standardized test statistics, draw a diagram for a standard normal distribution, shade the area for the p-value, and find the p-value based on a...

1. (TCO 3) You have been approved for a $70,000 loan toward the purchase of a new home at 12% interest. The mortgage is for 30 years. How much are the approximately annual payments of the loan? Hint:...