Q18. A biased coin is flipped 8 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.)

Advanced Engineering Mathematics
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Q18. A biased coin is flipped 8 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.)
Transcribed Image Text:Q18. A biased coin is flipped 8 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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