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Probability, SM-Bank 070

Tom has a dice and rolls it repeatedly 54 times, each time recording which side faces up.

How many times should he expect to see the side four coming up?  (2 marks)

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\(9\text{ times}\)

Show Worked Solution
\(\text{Number of times a 4}\) \(=P\text{(4 on die)}\times 54\)
  \(=\dfrac{1}{6}\times 54\)
  \(=9\)

 
\(\therefore\ \text{A 4 would be expected 9 times.}\)