Question: Two balanced dice are thrown, one red and one black. What is the probability that the red die comes up 1, given that the a.

Two balanced dice are thrown, one red and one black. What is the probability that the red die comes up 1, given that the
a. Black die comes up 3?
b. Sum of the dice is 4?
c. Sum of the dice is 9?

Step by Step Solution

★★★★★

3.49 Rating (179 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The sample space for this experiment is given in the following table Let the first number in the o... 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)

1270-M-S-P(10639).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Two balanced dice are thrown, and the average number on the two upper faces is recorded. a. Use the values = 3.5 and = 1.71 from Exercise 7.84. What are the theoretical mean and standard deviation...

Repeat the instructions in Exercise 7.85 when three dice are tossed. Two balanced dice are thrown, and the average number on the two upper faces is recorded. a. Use the values = 3.5 and = 1.71 from...

Repeat the instructions in Exercise 7.85 when four dice are tossed. Two balanced dice are thrown, and the average number on the two upper faces is recorded. a. Use the values = 3.5 and = 1.71 from...

Two fair dice are thrown, one red and one blue. What is the probability that the red die has a score that is strictly greater than the score of the blue die? Why is this probability less than 0.5?...

Math 1324 Final Review 51. (7.4) In a group of 35 books, 10 are student math books, 4 are teacher math books, 6 are student English books, 8 are teacher English books, and 7 are student physics...

A balanced die is thrown once. If a 4 appears, a ball is drawn from urn 1; otherwise, a ball is drawn from urn 2. urn 1 contains two red, four white and six black balls. Urn 2 contains one red and...

7 . Suppose that two six - sided dice are thrown. One is colored red and the other is colored blue. An outcome of a roll of the two dice is determined by the number that shows up on the blue die and...

3 More quesstions Question 1. Independent flips of a coin that lands on heads with probability p are made. What is the probability that the first four outcomes are (a) H,H, H,H? (b) T,H,H,H? Question...

..3 Answer the following questions Question 1. Independent flips of a coin that lands on heads with probability p are made. What is the probability that the first four outcomes are (a) H,H, H,H? (b)...

Hello can someone help Question 1 A delegation of three is to be chosen from the untenured faculty of the MIT Economics Department (numbering ten) to represent the department in an Institute-wide...

Hot water is transported from a cogeneration power station to commercial and industrial users through steel pipes of diameter D = 150 mm, with each pipe centered in concrete (k = 1.4 W/m K) of...

Scott Cameras produces digital cameras and has decided to switch from a volume-based system to an activity-based system. Scott produced 100,000 digital cameras in the most recent quarter and has...

What are the three measures of dispersion for the same data set in Question

7. In Springfield, Massachusetts, people drive their cars to a state inspection center for annual safety and emission certification at a Poisson rate of . For n 1, if there are n cars at the center...

A statistic is said to be an unbiased estimator of a parameter if the mean of all its possible values equals the parameter; otherwise, it is said to be a biased estimator. An unbiased estimator...

Suppose that a simple random sample is taken without replacement from a finite population of size N. a. Show mathematically that Equations (7.1) and (7.2) are identical for samples of size 1. b....

In Example 7.5, we used the definition of the standard deviation of a variable (Definition 3.12 on page 130) to obtain the standard deviation of the heights of the five starting players on a men's...

A grate, in a boiler, is a place in the combustion chamber upon which fuel (wood or coal) is burnt. aTrue bFalse

Rowell Company spent $3 million two years ago to build a plant for a new product. It then decided not to go forward with the project, so the building is available for sale or for a new product....

Sam is offered to receive a payment of $500000 today. Sam can invest this money for 16 years at an interest rate of 7%. What is the profit Sam would make on this investment in 16 years using simple...