Question: There are 3 coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that

There are 3 coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the 3 coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

Step by Step Solution

★★★★★

3.43 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

4 4 2 3 4 ... 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)

588-M-S-P (3786).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

There are 3 urns containing coins. Urn I contains 3 gold coins, urn II contains 1 gold coin and 1 silver coin, and urn III contains 2 silver coins. An urn is selected and a coin is drawn from the...

There are two misshapen coins in a box; their probabilities for landing on heads when they are flipped are, respectively, .4 and .7. One of the coins is to be randomly chosen and flipped 10 times....

There are two boxes A and B, each containing red and green balls. Suppose that box A contains one red ball and two green balls and box B contains eight red balls and two green balls. Consider the...

40. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin which comes up heads 75 percent of the time. When one of the three coins is...

42. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the three coins is...

There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third coin is a biased coin that comes up heads 75% of the time. (a) If a coin is randomly selected, what is...

There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the three coins is selected at...

42. There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin that comes up heads 75 percent of the time. When one of the three coins is...

There are three coins in a box. One is a two-headed coin, another is a fair coin, and the third is a biased coin which comes up heads 75 percent of the time. When one of the three coins is selected...

Fundamental Problem 2.17 Figure 1 of 1 F = 750 N 45% 60 Z Part A Express the force as a Cartesian vector. (Figure 1) Express your answer in terms of the unit vectors i, j, k. To denote vectors in...

Is EVT the ideal solution for distributions that have extreme events not reflected in historical data?

Which state was the first to allow online voting in 2 0 0 2 ?

$7-17. In problem S7-10 suppose Somerset furniture is consider- ing three possible sites for its distribution center, which are the most economical in terms of land and building cost. The coordinates...

Assume, as in Example 3h , that 64 percent of twins are of the same sex. Given that a newborn set of twins is of the same sex, what is the conditional probability that the twins are identical?

Repeat Problem 3.87 when each of the 3 players selects from his own urn. That is, suppose that there are 3 different urns of 12 balls with 4 white balls in each urn. An urn contains 12 balls, of...

In Problem 4.5, for n = 3, if the coin is assumed fair, what are the probabilities associated with the values that can take on? Problem 4.5 Let X represent the difference between the number of heads...

Chapter 17: Krager Foods Corp. has 650,000 shares outstanding. General Grocery, one of its subsidiaries, is disgusted with current management practices and is trying to get some of its own people...

What is a cloud - native application?

Here we apply Bayesian inference to an everyday problem. Suppose we have a coin and are not sure if it is a fair coin or a double-headed coin. The two hypotheses would be Hf : p(H) = 0.5 and Hd :...