Consider an urn containing 6 red balls and 3 blue balls from which 3 balls are selected without replacement. What is the probability of selecting a red ball, if you select exactly one blue ball?
Consider an urn containing 6 red balls and 3 blue balls from which 3 balls are...
In an urn, there are 3 blue balls and 2 red balls. A ball is selected at random without replacement. Regardless of what color the first ball was, a blue ball is added to the urn (so there are a total of 5 balls in the urn now). Then a second ball is selected from the urn. a) What is the chance that the second ball selected from the urn is blue? b) Given that the second ball is blue,...
In an urn, there are 3 blue balls and 2 red balls. A ball is selected at random without replacement. Regardless of what color the first ball was, a blue ball is added to the urn (so there are a total of 5 balls in the urn now). Then a second ball is selected from the urn. a) What is the chance that the second ball selected from the urn is blue? b) Given that the second ball is blue,...
Suppose there is an urn containing 5 red, 4 white, and 11 blue balls. We drawn six balls from the urn (no replacement) (a) Find the number of ways (not the probability) of choosing a red ball, then a blue ball, then exactly 2 white balls, and finally exactly 2 blue balls. (b)Find the number of ways of choosing 2 red balls initially , then at least 3 blue balls, then a green ball. (c) Find the number of ways...
An urn contains 6 red, 9 green, and 11 blue balls. The following is repeated 3 times: a ball is selected from the urn at random and removed (called “sampling without replacement”). Give your answers to 3 significant digits. (a) What is the probability that all 3 selected balls are the same color? (b) What is the probability that all 3 selected balls are different colors? (c) Repeat part (a) assuming “sampling with replacement”. That is, the following is repeated...
3. There are 6 red and 4 blue balls inside an urn. Three balls are selected at random without replacement. Find the probability of the event that more red balls are selected.
6. There are 5 red balls and 7 blue balls in an urn. Two balls are drawn consecutively without replacement. What is the probability that the first ball drawn is red given that the second ball drawn is also red?
A ball is taken at random from an urn containing 2 red balls and 3 blue balls. If the ball is red a fair coin is tossed three times. If the ball is blue non-fair coin is tossed three times; for this second coin the probability of heads is .6. In either case we count the number of heads in the three tosses and call that number X. (a) Compute the conditional probability that X-2 if it is known that...
I place 10 balls into an urn; 5 are red and 5 are blue. a. If I select 3 without replacement, what is the probability all are red? b. If I select 3 with replacement, what is the probability all are red? c. I remove ? blue balls from the urn so that the probability of drawing a red ball is now 0.555. What is the value of ?? Please show the solution in detail so that i can understand
An urn contains 5 blue balls, 3 yellow balls and 2 red balls. Three balls are drawn without replacement. (i) What is the probability that all three balls are blue? (ii) What is the probability that two balls are blue and one ball is yellow? (iii) What is the probability that at least one of the balls is blue?
An urn contains 5 blue balls, 5 white balls, 5 red balls, and 5 green balls. Larry is selecting 4 balls at random one after the other without replacement. What is the probability that at least one of the selected balls is blue?