An experiment consists of choosing an urn with the following
probabilities that Urn 1, Urn 2, or Urn 3 will be chosen: 1/2, 1/4,
and 1/4, respectively. Urn 1 contains 5 brown marbles and 11 clear
marbles. Urn 2 contains 15 brown marbles, 7 clear marbles and 12
red marbles. Urn 3 contains 10 brown marbles, 13 clear marbles and
9 red marbles.
A marble is then chosen from the chosen urn. What is the
probability that Urn 3 was chosen, given that the marble chosen was
clear?
a) 0.2044
b) 0.1016
c) 0.3126
d) 0.4063
e) 0.1354
f) None of the above.
An experiment consists of choosing an urn with the following probabilities that Urn 1, Urn 2,...
An urn contains 14 red marbles, 29 blue marbles, and 43 yellow marbles. One marble is to be chosen from the urn without looking. What is the probability of choosing a red marble?
An urn contains 27 red marbles, 25 blue marbles, and 43 yellow marbles. One marble is to be chosen from the urn without looking. What is the probability of choosing a red marble? Your answer should be to rounded to 4 decimal places.
An urn contains 21 red marbles, 19 blue marbles, and 40 yellow marbles. One marble is to be chosen from the urn without looking. What is the probability of choosing a red or a blue marble? Your answer should be rounded to 4 decimal places.
An urn contains 12 marbles, 31 blue marbles, and 44 yellow marbles. One marble is to be chosen from the urn without looking. What is the probability of choosing a red marble? Your Answer should be rounded to 4 decimal places.
A urn contains one red marble, one green marble and one blue marble. An experiment consists of taking one marble from the urn and then drawing a second marble (without replacing the first marble). The colors for both marbles is recorded. a) Use a tree diagram to represent all the possible outcomes in the sample space of this experiment. How many outcomes are there in this sample space? b) Consider the event A "the first marble drawn is red". How...
EXERCISE 16. Urn A contains 4 white and 3 red marbles, urn B contains 2 white and 5 red marbles. A marble is to be selected from urn A and another marble is to be selected from urn B. What is the probability that the two marbles selected are white? Answer. 8/49. Please show your workings. I have shown the possible answer already. Thank you!
Urn A' contains 4 white and 3 red marbles and urntains 2 white and 5 red marbles. One of the urn is to be chosen atrandom and a marble is to be selected from the chosen urn. What is theprobability of drawing a white marble
ASAP Exercise 6. This problem describes an experiment in which conditional probabilities are used to compute "proper" probability. The experiment starts with two urns, Urn #1 contains 5 white marbles and 2 black marbles. Urn #2 contains 7 white marbles and 3 black marbles. One marble from each urn is drawn at random. (For each urn, the chance of each marble being drawn is the same.) Let T be the event that the two marbles are the same color. Let...
a) A urn contains one red marble, one green marble and one blue marble. An experiment consists of taking one marble from the urn, then returning it and drawing a second marble. What is the probability that exactly one red marble is selected? b) What is the probability that exactly one red marble is selected if the experiment is without replacement (marble is not returned)?
3. Consider the following experiment. We have an urn with two marbles numbered 1 and 2 We pick a marble randomly, write down its number and return it to the urn. Then we add a marble with the mumber 3 to the um, choose one of the three marbles randomly, record its number and return it to them. We repeat this over and over: before thek + 1)st pick we add a marble with with the number k + 2...