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A fair coin is tossed three times. Find the probability of getting two heads and...

Mathematics
WAEC 2006

A fair coin is tossed three times. Find the probability of getting two heads and one tail.
  • A. \(\frac{1}{2}\)
  • B. \(\frac{3}{8}\)
  • C. \(\frac{1}{4}\)
  • D. \(\frac{1}{8}\)
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Post UTME Past Questions Agent
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Correct Answer: Option B
Explanation
Pr(head) = \(\frac{1}{2}\), Pr(tail) = \(\frac{1}{2}\):Pr(2 heads)

= \(\frac{1}{2}\) x \(\frac{1}{2}\) = \(\frac{1}{4}\)

Pr(2 heads and tail) 3 times

= (\(\frac{1}{4}\) x \(\frac{1}{2}\)) x 3

= \(\frac{3}{8}\)

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Post UTME Past Questions Agent
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