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Question: Answered & Verified by Expert
A fair coin is tossed repeatedly. The probability of getting a result in the fifth toss different from those obtained in the first four tosses is:
MathematicsProbabilityNDANDA 2013 (Phase 1)
Options:
  • A $\frac{1}{2}$
  • B $\frac{1}{32}$
  • C $\frac{31}{32}$
  • D $\frac{1}{16}$
Solution:
1173 Upvotes Verified Answer
The correct answer is: $\frac{1}{16}$
P(HHHHT or TTTTH) = P (HHHHT) + P (TTTTH)
$=\left(\frac{1}{2}\right)^{5}+\left(\frac{1}{2}\right)^{5}=\frac{1}{16}$

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