Question

In: Statistics and Probability

Experiment: An urn contains 4 blue marbles and 8 orange marbles. Two marbles are drawn without...

Experiment: An urn contains 4 blue marbles and 8 orange marbles. Two marbles are drawn without replacement. What is the probability that a blue and orange marble are drawn? A) 0.4444 B) 0.2424 C) 0.1212 D) 0.4848 E) 0.2222

The answer is D I just don't understand how my professor got it.

Solutions

Expert Solution

Please Thumbs Up ? if you are satisfied with the answer otherwise, comment whatever else you want. Thank you


Related Solutions

An urn contains five black marbles and one orange marbles. Four marbles are drawn out one...
An urn contains five black marbles and one orange marbles. Four marbles are drawn out one at a time. For each marble, if it is black the marble is set aside, but if it is orange it is returned to the urn before the next marble is drawn. Let X be the number of black marbles drawn from the urn. Find the probability distribution for X and find the expectation value and variance of X
Two marbles are drawn without replacement,from an urn containg 4red , 5 white,and 2 blue marbles....
Two marbles are drawn without replacement,from an urn containg 4red , 5 white,and 2 blue marbles. Determine A- both are red B- The first marble drawn is red and the second is blue . C- The first mable drawn is blue, and the second red D-- One of the marbles is red and the other is blue E-- At least one of them is blue. 2. Suppose mary wants to study in a college probabilityof getting admission to CCE is...
An urn contains 4 marbles, either blue or green. The number of blue marbles is equally...
An urn contains 4 marbles, either blue or green. The number of blue marbles is equally likely to be 0, 1, 2, 3, or 4. Suppose we do 3 random draws with replacement, and the observed sequence is: blue, green, blue. What is the probability the urn contains just 1 blue marble?
An urn contains 4 marbles, either blue or green. The number of blue marbles is equally...
An urn contains 4 marbles, either blue or green. The number of blue marbles is equally likely to be 0, 1, 2, 3, or 4. Suppose we do 3 random draws with replacement, and the observed sequence is: blue, green, blue. What is the probability the urn contains just 1 blue marble?
A jar contains 4 Orange, 3 Blue, and 2 Green marbles. (a) Two marbles are selected...
A jar contains 4 Orange, 3 Blue, and 2 Green marbles. (a) Two marbles are selected one at a time at random without replacement, so order is observed in the sample. Define the events:A=“the first marble is Orange”, B= “the second marble is Orange”. Find(i)P(A), (ii)P(B), (iii)P(A∪B) =P(at least one Orange marble is obtained in the 2 draws). Show your work. (b) Suppose instead three marbles are chosen at random from the jar by choosing 3 in one hand; no...
Four marbles are being drawn from an urn containing 8 blue and 2 red marbles. Let...
Four marbles are being drawn from an urn containing 8 blue and 2 red marbles. Let X be the number of blue marbles drawn. What this the probability mass function for X if the marbles are drawn with replacement.
An urn contains 5 blue marbles and 4 red marbles. You draw a certain number of...
An urn contains 5 blue marbles and 4 red marbles. You draw a certain number of marbles from the urn at random with replacement . . . (A) You win $243.00 if you draw more blue marbles than red marbles. Assuming that you want to win, which is better: drawing 20 marbles or 200 marbles? Explain your answer briefly. (B) You win $177.00 if the percentage of red marbles that you draw is less than 42%. Assuming that you want...
An urn contains 5 blue marbles and 4 yellow marbles. One marble is​ removed, its color​...
An urn contains 5 blue marbles and 4 yellow marbles. One marble is​ removed, its color​ noted, and not replaced. A second marble is removed and its color is noted. ​(a) What is the probability that both marbles are blue? yellow​? ​(b) What is the probability that exactly one marble is blue​? A tree diagram has a root that splits into 2 branches labeled blue and yellow. Each primary branch splits into 2 secondary branches, labeled blue and yellow.yellowblueblueblueyellowyellow
An urn contains three blue and seven green marbles. Alice chooses two marbles at random from...
An urn contains three blue and seven green marbles. Alice chooses two marbles at random from the urn. If they have the same color, Bob will pay her $7; but if they have different colors, Alice will pay Bob $8 a) Give the probability distribution for Alice’s payoffs of this game. Use proper headings for the table. b) What are Alice expected winnings in this game? Is it a fair game?
A box contains 5 green marbles, 8 blue marbles, and 8 red marbles. Three marbles are...
A box contains 5 green marbles, 8 blue marbles, and 8 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT