Calculate exact and complementary binomial probabilities for coin tosses.

Calculate exact and complementary binomial probabilities for coin tosses.

6 marks
ProbabilityQuestionBank.pdf

A fair coin is tossed five times. Calculate the probability of obtaining

  1. exactly three heads;
  2. at least one head.

[6]

Solution:

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Answer:\(P(\text{at least one head})=1-(\frac12)^5=\frac{31}{32}\).

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