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If three unbiased coins are tossed, find the probability that they are all heads

Mathematics
JAMB 2010

If three unbiased coins are tossed, find the probability that they are all heads

  • A. \(\frac{1}{2}\)
  • B. \(\frac{1}{3}\)
  • C. \(\frac{1}{9}\)
  • D. \(\frac{1}{8}\)
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Correct Answer: Option D
Explanation

P(H) = \(\frac{1}{2}\) and P(T) = \(\frac{1}{2}\)

Using the binomial prob. distribution,

(H + T)3 = H3 + 3H2T1 + 3HT2 + T3

Hence the probability that three heads show in a toss of the three coins is H3

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

= \(\frac{1}{8}\)

There is an explanation video available below.


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Explanation Video

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