A biased coin is flipped 7 times. In a single flip of the coin, the probability of heads is 1/3 and the probability of tails is 2/3. The outcomes of the coin flips are mutually independent. What is the probability the first two flips come up heads and the rest of the flips come up tails? (Round to four decimal places.)
A biased coin is flipped 7 times. In a single flip of the coin, the probability of heads is 1/3 and the probability of tails is 2/3. The outcomes of the coin flips are mutually independent. What is the probability the first two flips come up heads and the rest of the flips come up tails? (Round to four decimal places.)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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A biased coin is flipped 7 times. In a single flip of the coin, the probability of heads is 1/3 and the probability of tails is 2/3. The outcomes of the coin flips are mutually independent. What is the probability the first two flips come up heads and the rest of the flips come up tails? (Round to four decimal places.)
![Q18. A biased coin is flipped 7 times. In a single flip of the coin, the probability of
heads is 1/3 and the probability of tails is 2/3. The outcomes of the coin flips are
mutually independent. What is the probability the first two flips come up heads and
the rest of the flips come up tails? (Round to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa23baaf9-4620-49be-9750-e823f0317a2b%2F044e54bd-bef6-4337-97b7-719e4a3900d3%2F9pfvf2d_processed.png&w=3840&q=75)
Transcribed Image Text:Q18. A biased coin is flipped 7 times. In a single flip of the coin, the probability of
heads is 1/3 and the probability of tails is 2/3. The outcomes of the coin flips are
mutually independent. What is the probability the first two flips come up heads and
the rest of the flips come up tails? (Round to four decimal places.)
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