Question: There are two dice in a box, . one is fair : all outcomes are equally likely when rolling this die, . the other is

There are two dice in a box, . one is fair

There are two dice in a box, . one is fair : all outcomes are equally likely when rolling this die, . the other is loaded : the probability of getting a six on any roll is 1/2 and all other outcomes are equally likely. A die is selected at random from the box (both with equal probability of being selected) and rolled twice, giving a result of six on both rolls. What is the probability that the fair die was rolled

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

There are two dice in a box, one is fair: all outcomes are equally likely when rolling this die, the other is loaded the probability of getting a six on any roll is 1/2 and all other outcomes are...

> " ! Help / FAQ # Alicia Clark $ > 12.1 Probability of an event One of the primary applications of counting is to calculate probabilities of random events. Probabili theory plays an important role...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

2) Is Pink the best mix of Red and White? There's no rule that says a portfolio has to be an equal mix of two investments. (a) Find the mean and variance of a portfolio that has 60% invested in White...

A. Readings/Discussions: Sample Spaces and Events You learned the basic concepts on probability in grade 8. Activities such as rolling a die, tossing a coin, or randomly choosing a ball from a box...

ductory Statistics Third Edition Perdisco Assessment Below is a set of assessable homework questions on this topic, selected by your professor. Take care! Do not submit your answers until you have...

Score: 5/7 5/6 answered . Question 5 Questions 1-5: We know that the probability of heads is 0.5 for a fair coin, but can this probability be manipulated? Researchers at the University of British...

Suppose you toss a coin 100 times and get 76 heads and 24 tails. Based on these results, what is the probability that the next flip results in a tail? Question list K O Question 3 The probability...

11.] A die is rolled once. What is the probability that the result is an even number and a factor of 2? l E l 1 A14 313 on Dis 12.] No fair dice, each with faces numbered 1 to 6 are rolled once. What...

You are given three investment alternatives to analyze. The cash flows from these three investments are as follows: Assuming a 20 percent discount rate, find the present value of eachinvestment....

In alphabetical order below are current asset items for Diaz Company's balance sheet at December 31, 2011. Prepare the current assets section (including a complete heading). Accounts receivable...

60. Governmental Use of email. The Federal Government wants to determine if the mean number of business emails sent and received per business day by its employees differs from the mean number of...

8. When using SPC for Process Control, what are the parameters you want the process to stay within? 4 9. If your supplier is not capable of meeting your specifications, what can you do? 4 10....

10. What is meant by the fact that we are socialized into using linear causal thought patterns? Find two examples of this from your everyday life.

The senders expertise; certification, i.e. the senders educational background

Context, i.e. the context of the information presented and received