Calculate exact and combined binomial probabilities for eight fair-coin tosses.

Calculate exact and combined binomial probabilities for eight fair-coin tosses.

6 marks
ProbabilityQuestionBank.pdf

A fair coin is tossed eight times. Calculate

  1. the probability of obtaining exactly 4 heads;[2]
  2. the probability of obtaining exactly 3 heads;[1]
  3. the probability of obtaining 3, 4 or 5 heads.[3]

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Answer:\(P(3\le X\le5)=\frac{56+70+56}{256}=\frac{91}{128}\).

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