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magine flipping twelve fair coins. a. What is the theoretical probability that all twelve will come...

magine flipping twelve fair coins. a. What is the theoretical probability that all twelve will come up tails​? b. What is the theoretical probability the first toss is heads AND the next eleven are tails​? a.​ P(all twelve tosses are tails​)equals StartFraction 1 Over 4096 EndFraction ​(Type an integer or a simplified​ fraction.) b.​ P(first toss is heads and next eleven tosses are tails​)equals nothing ​(Type an integer or a simplified​ fraction.)

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Answer #1

All the tosses of a coin is independent of each other. Hence,

b) P(First toss is heads and next eleven tosses are tails​)

= (1/2)*(1/2)11

= 1/4096

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