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For each element in a set of size 2n, an unbiased coin is tossed. The 2n coin tosses are independent. An element is chosen if the corresponding coin toss was a head. The probability that exactly n elements are chosen is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For each element in a set of size 2n, an unbiased coin is tossed. The ...
ways of getting n heads out of 2n tries = 2nCn
probability of getting exactly n heads and n tails = (1/2n)(1/2n) number of ways = 2nCn/4n
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For each element in a set of size 2n, an unbiased coin is tossed. The 2n coin tosses are independent. An element is chosen if the corresponding coin toss was a head. The probability that exactly n elements are chosen isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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