An urn contains 12 red balls, 10 white balls, and 5 black balls. You select theee...

An urn contains 12 red balls, 10 white balls, and 5 black balls. You select theee balls from the urn at random without replacement. Compute the following probabilities:

A) You do not select a ball of each color

B)You select only res balls

Expert Solution

orchestra answered 2 years ago

Urn A contains four white balls and three black balls. Urn B contains six white balls...

Urn A contains four white balls and three black balls. Urn B contains six white balls and seven black balls. A ball is drawn from Urn A and then transferred to Urn B. A ball is then drawn from Urn B. What is the probability that the transferred ball was white given that the second ball drawn was white? (Round your answer to three decimal places.) I can't seem to figure this out! Please help! Thank you!

Urn 1 contains 10 red balls, 5 green balls and 12 orange. Inside Urn 2 there...

Urn 1 contains 10 red balls, 5 green balls and 12 orange. Inside Urn 2 there are 7 red, 13 green, and 20 orange balls. Flip a coin to choose the urn, so there is a 55% chance to heads, you pick urn 1. If you pick tails, you pick urn 2. Then pick a ball from one of the urns after you flip. If you choose an orange ball, pick again but do this only once. a) Draw a...

An urn contains 4 white balls and 6 red balls. A second urn contains 8 white...

An urn contains 4 white balls and 6 red balls. A second urn contains 8 white balls and 2 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.7. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.)

An urn contains 4 white balls and 6 red balls. A second urn contains 7 white...

An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.1. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.) - (a) the probability that the urn...

An urn contains 5 white and 8 red balls. Assume that white balls are numbered. Suppose...

An urn contains 5 white and 8 red balls. Assume that white balls are numbered. Suppose that 3 balls are chosen with replacement from that urn. Let Yi = 1 if if the ith white ball is selected and Yi = 0 otherwise, i = 1,2: Find the EXPECTED VALUE of Yi given that a) Y2 = 1; b) Y2 = 0.

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball,...

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball, and a player is to draw one ball. If it is black, he wins $1, if it is red, he wins $2, if it is white he wins $3 and if it is blue, he pay $25. a. Set up the empirical probability distribution for the random variable X, the payoff of the game. Game Payoff (X) Probability [P(X) $1 $2 $3 $4 b....

An urn contains 6 white and 10 black balls. The figure gives by the roll of...

An urn contains 6 white and 10 black balls. The figure gives by the roll of a dice balance indicates the number of balls that will be drawn without delivery of the ballot box. Let A be the event defined by: A: all the balls drawn from the urn are white. What is the probability that the dice has delivered a 3 knowing that A has realized (Use Bayes' Law)?

1. Consider the following game: An urn contains 20 white balls and 10 black balls. If...

1. Consider the following game: An urn contains 20 white balls and 10 black balls. If you draw a white ball, you get $1, but if you draw a black ball, you loose $2. (a) You draw 6 balls out of the urn. What is the probability that you will win money? (b) How many balls should you draw in order to maximize the probability of winning? Hint: Use a computer.

An urn contains 11 white balls and 5 black balls. A simple random sample with replacement...

An urn contains 11 white balls and 5 black balls. A simple random sample with replacement (wr) of size: n = 2 is drawn from the urn. Calculate the probability that the sample contains one ball of each color. at least four decimal places.

There are 5 black balls and 9 red balls in an urn. If 4 balls are...

There are 5 black balls and 9 red balls in an urn. If 4 balls are drawn without replacement, what is the probability that exactly 3 black balls are drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.

Question