Suppose one basket has five white balls and seven black balls. A second basket has three white balls and twelve black balls. We will flip a fair coin and if it lands “heads” a ball from basket 1 is selected, and if it lands “tails” a ball from basket 2 is selected. Suppose that we have done this and that a white ball was selected, what is the probability that the coin landed tails?
Basket 1: 5 white, 7 black
Thus, P(white/basket1) = 5/12
Basket 2: 3 white, 12 black
Thus, P(white/basket2) = 3/15 = 1/5
We will flip a fair coin and if it lands “heads” a ball from basket 1 is selected, and if it lands “tails” a ball from basket 2 is selected
Thus, P(selecting basket 1) = P(selecting basket 2) = 1/2
P(tails/ white ball was selected )
= P(basket 2 / white ball was selected)
= P(basket 2 and white ball was selected) / P(white ball was selected)
= (1/5) / (1/5 + 5/12)
= (1/5) / (37/60)
= 12/37
= 0.3243
Suppose one basket has five white balls and seven black balls. A second basket has three...
Suppose one basket has five white balls and seven black balls. A second basket has three white balls and twelve black balls. We will flip a fair coin and if it lands “heads” a ball from basket 1 is selected, and if it lands “tails” a ball from basket 2 is selected. Suppose that we have done this and that a white ball was selected, what is the probability that the coin landed tails?
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one bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls . we first toss a fair coin .if it is head , one ball is drawn from the first bag and placed in the second bag.if it is a tail , one ball is drawn from the second bag and placed in the first bag.let the event A be that a ball is now drawn from the second...
A box contains seven red balls and five black balls. Three balls are selected at random from the box. Compute the probability that (d) at least one ball is red.
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.)
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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...
Please include steps. Thank you! Urn A contains four white balls and five black balls. Urn B contains seven 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 white given that the second ball drawn was white? (Round your answer to three decimal places.) Need Help?Read It Watch It
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