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Year 12 Methods (Unit 3 & 4) Bernoulli sequences and the binomial distribution

Introduction to Bernoulli sequences and the binomial distribution

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Question 1
17694

A farmer crossbreeds his cattle using a black bull over white cows. Over a period of time he found that \(\dfrac{2}{3}\) of the calves were born black and \(\dfrac{1}{3}\) white. He randomly selects 4 of the calves. Find the probability that all the calves are black.

\(\dfrac{16}{81}\)

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