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Coin tosses

Coin tosses

IB Year 5 | Grade 11

A coin is biased so that it is twice as likely to show heads as tails. Find the probability that in \(5\) tosses of the coin,

  1. exactly \(3\) heads are obtained,
  2. more than \(3\) heads are obtained.

Solution:

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Answer:Under independent tosses with constant bias: (a) \(\frac{80}{243}\approx0.329\). (b) \(\frac{112}{243}\approx0.461\). Decimals to 3 s.f.

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