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The probability that the 5th ball drawn is blue is 0.6667.

Question

1) A bin contains 4 red balls and 8 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 5th ball drawn is blue? Answer: 0.6667 2) A bin contains 3 red balls and 7 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 5th ball drawn is blue and the 8th ball drawn is blue? Answer: 0.49 3) A bin contains 3 red balls and 8 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. Given that the first 5 balls drawn are all red, what is the probability that the 8th ball drawn is blue? Answer: 0.7273 4) A bin contains 4 red balls and 9 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 5th ball drawn is red and the 9th ball drawn is red? Answer: 0.0947 5) A bin contains 7 red balls and 8 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 6th ball drawn is red? Answer: 0.4667 6) A bin contains 5 red balls and 10 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 6th ball drawn is red and the 9th ball drawn is blue? Answer: 0.2222 7) A bin contains 7 red balls and 9 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. Given that the first 4 balls drawn are all red, what is the probability that the 9th ball drawn is red? Answer: 0.4375

1) A bin contains 4 red balls and 8 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 5th ball drawn is blue? Answer: 0.6667
2) A bin contains 3 red balls and 7 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 5th ball drawn is blue and the 8th ball drawn is blue? Answer: 0.49
3) A bin contains 3 red balls and 8 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. Given that the first 5 balls drawn are all red, what is the probability that the 8th ball drawn is blue? Answer: 0.7273
4) A bin contains 4 red balls and 9 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 5th ball drawn is red and the 9th ball drawn is red? Answer: 0.0947
5) A bin contains 7 red balls and 8 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 6th ball drawn is red? Answer: 0.4667
6) A bin contains 5 red balls and 10 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. What is the probability that the 6th ball drawn is red and the 9th ball drawn is blue? Answer: 0.2222
7) A bin contains 7 red balls and 9 blue balls. The following experiment is repeated several times: remove a ball from the bin, observe its color, and replace it. Given that the first 4 balls drawn are all red, what is the probability that the 9th ball drawn is red? Answer: 0.4375

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