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1. An urn contains balls numbered 1 through 7. A ball is drawn and replaced, and...
An urn contains 8 balls numbered 1-8 and a ball is randomly drawn from the urn. Let A = “Ball number 2, 4 or 6 is chosen” and let B = “Ball number 3,4,5,6 or 7 is chosen”. Calculate the following probabilities: a)P(A) b) P(A') c) P(A∪B) d) P(A|B)
3. An urn contains five white balls numbered from 1 to 5, five red balls numbered from 1 to 5 and five blue balls numbered from 1 to 5. For each of the following questions, please give your answer first in the form that reflects your counting process, and then simplify that to a number. You must include the recipes. No other explanation needed. (a) In how many ways can we choose 4 balls from the urn? (b) in how...
(Um Poker) An urn contains 11 red balls numbered 1 through 11, 11 yellow balls numbered 1 through 11, 11 green balls numbered 1 through 11, and 11 black balls numbered 1 through 11. If 4 balls are randomly selected find the probability of getting (a) a flush (ie., all balls the same color) (b) three of a kind. (Three of a kind is 3 balls of one denomination and a fourth ball of a different denomination. e.g., 5,5,5,2) (c)...
Urn A contains two red balls and eight blue balls. Urn B contains two red balls and ten green balls. Six balls are drawn from urn A and four are drawn from urn B; in each case, each ball is replaced before the next one is drawn. What is the most likely number of blue balls to be drawn? What is the most likely number of green balls to be drawn?
An urn contains three red balls numbered 1, 2, 3, five white balls numbered 4, 5, 6, 7, 8, and two black balls numbered 9, 10. A ball is drawn from the urn. (Enter your probabilities as fractions.) (a) What is the probability that it is red? (b) What is the probability that it is odd-numbered? (c) What is the probability that it is red and odd-numbered? (d) What is the probability that it is red or odd-numbered? (e) What is the probability that it...
An urn contains 4 white balls and 6 red balls. A second urn contains 6 white balls and 4 red balls. An urn is selected, and the probability of selecting the first urn is 0.8. 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 selected...
a-d
2. An urn contains 4 balls numbered 1,2,3,4, respectively. Two balls are drawn without replacement. Let A be the event that the first ball drawn has a 1 on it, and let B be the event tha the second ball has a 1 on it. a) Find P(BIA) b) Find P(B) c) If C is the event a 1 is drawn, find P(C). d) Find P(A IC)
An urn contains 8 red balls, 3 green balls, and 1 white ball. Three are drawn simultaneously. Answer the following questions: 1. How many ways can 1 ball of each color be drawn? 2. How many ways can at least 1 green ball be drawn? 3. How many ways can the same color ball be drawn?
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...
An urn “A' contains 2 white and 4 black balls. Another urn ®contains 5 white and 7 black ball. A ball is transferred from the urn $A)to urn B'. Then a ball is drawn from urn B'. Find the probability, thatit will be white.