Probability, SM-Bank 091

In an experiment, a 6-sided die is thrown a number of times and the results are listed below.

\(4, 1, 3, 2, 6, 5, 2, 2, 1, 4\)

\(3, 2, 1, 1, 2, 4, 2, 6, 1, 2\)

What is the relative frequency of getting a 2? Give your answer as a decimal. (1 mark)
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If this experiment was repeated 160 times, how many times would you expect to throw a 2? (1 mark)
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Show Answers Only

a. \(0.35\)

b. \(56\)

Show Worked Solution

a. \(\text{Relative frequency}=\dfrac{\text{number of times event occurs}}{\text{total number of trials}}\)

\(P(2)\)	\(=\dfrac{7}{20}\)
	\(=0.35\)

b.	\(\text{Number of 2’s}\)	\(=160\times\dfrac{7}{20}\)
		\(=56\)

\(\therefore\ \text{You would expect to throw 56 2’s in 160 trials}\)