Problem(3)(20.) Suppose an urn contains 3 black balls and 4 white balls. Then, if you draw...
Two balls are chosen from an urn without replacement. 3 are black and 4 are white. Find a) the probability that both of the balls are the same color b) given that at least one of the balls is white, what is probability that the other ball is white?
Urn I contains 5 white balls and 5 black balls. Urn II contains 7 white balls and 3 black balls. Under which of the following plans is the probability of getting two white balls the greatest? (a) Draw one ball from each urn. (b) Draw two balls from Urn I. (c) Put all 20 balls in one urn and then draw two.
An urn contains 7 white balls and 3 black balls. Two balls are selected at random without replacement. What is the probability :1 The first ball is black and the second ball is white.? 2: One ball is white and the other is black? 3:the two balls are white ?
Suppose that an urn contains 10 red balls and 4 white balls. Supposed 3 balls are drawn one by one from the urn. What is the probability of getting one red ball and two white balls? Show all work! a) Assume the balls are drawn with replacement. b) Assume the balls are drawn without replacement.
Urn "A" contains 5 white balls and 4 black balls, whereas urn B contains 3 white balls and 5 black balls. A ball is drawn at random from urn "B" and placed in urn "A". A ball is then drawn from urn "A". It happens to be black. What is the probability that the ball transferred was black?
An urn contains 12 white balls and 14 yellow balls. If you draw 4 balls without replacement, what is the probability of drawing 4 white balls?
Urn A contains seven white balls and four black balls. Urn B contains six white balls and three 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 black given that the second ball drawn was black? (Round your answer to three decimal places.)
Urn A contains four white balls and six black balls. Urn B contains three 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 black given that the second ball drawn was black? (Round your answer to three decimal places.) n transferred to Urn A contains four white halls and six hlack balls. Urn...
3. Suppose there are 2 urns such that the first urn contains a white balls and b black balls and the second urn contains c white balls and d black balls. Flip a coin whose probability of landing heads is p and select a ball from the first urn if the outcome is heads and from the second if the outcome is tails. What is a value for p for which the probability that the outcome was heads given that...
4. An urn contains 5 blue balls, 3 green balls, and 7 white balls. (a) A ball is selected from the urn. What are the odds the ball is green? (2 Two balls are selected without replacement. What are the odds the balls are blue and green? (c) Two balls are selected without replacement. What are the odds at least one is blue or at least one is green? (d) Two balls are selected without replacement. What are the odds...