Probability, SM-Bank 090

A coin is tossed and the results are as follows, where \(H=\)heads and \(T=\)Tails.

\(H, T, H, T, H, T, H, T, T, T, H, T, T, T\)

What is the relative frequency of getting a Head? (1 mark)
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If the trial was repeated 42 times, how many times would you expect to toss a head? (1 mark)
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Show Answers Only

a. \(\dfrac{5}{14}\)

b. \(15\)

Show Worked Solution

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

\(P(H)=\dfrac{5}{14}\)

b.	\(\text{Number of heads}\)	\(=42\times\dfrac{5}{14}\)
		\(=15\)

\(\therefore\ \text{You would expect to toss 15 heads in 42 trials}\)